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Either 16+7/x or x+16+8/x depending on whether "3/3x" is interpreted as "3/(3x)" or "(3/3)x", both of which are valid interpretations of the precedence of operators.
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7(3x+5) = 8x -1(1-4x)
Let's distribute
21x + 35 = 8x -1 + 4x
collect like terms
21x + 35 = 12x -1
Put all the x's on one side by subtracting 12x from both sides
21x -12x + 35 = 12x -1 -12x
simplify
9x + 35 = -1
get all the constants on the right side
9x + 35 - 35 = -1 - 35
9x = -36
divide both sides by 9 to get x by itself
9x /9 = -36/9
x = -4
You can use cross multiplication to get the equations:
3x = 120
3x = 300
3x = 60
And then you can solve for x to get:
3/10 = 12/40 = 30/100 = 6/20 Cross Multiply
get the X's on the same side of the equation by subtracting 3x from both sides, then get the constants on the same side by subtracting 5 from each side. You'll simplify it to 6x-3x=17-5, resulting in 3x=12 or x=4...
5x -2(x-2) = 6 -2(-3x-3) 5x -2x +4 = 6 +6x +6 (use the distributive property) 3x + 4 = 6x + 12 (collect terms) 4 = 3x + 12 (subtract 3x from both sides to get all x on one side) -8 = 3x (subtract 12 from both sides to get only x on one side) -8/3 = x (divide both sides by 3 to get x by itself)
The easiest solution would be to move the variable to only one side. This is not that difficult. For example your given equation is 8(3x-5)-4=4x-10; subtracting both sides of this equation by 4x would give 8(3x-5)-4-4x=10.
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