9x-3x+8(-2x+10)-15=7x-4x-3(2x+9)+57

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Solution for 9x-3x+8(-2x+10)-15=7x-4x-3(2x+9)+57 equation: 


Simplifying
9x + -3x + 8(-2x + 10) + -15 = 7x + -4x + -3(2x + 9) + 57

Reorder the terms:
9x + -3x + 8(10 + -2x) + -15 = 7x + -4x + -3(2x + 9) + 57
9x + -3x + (10 * 8 + -2x * 8) + -15 = 7x + -4x + -3(2x + 9) + 57
9x + -3x + (80 + -16x) + -15 = 7x + -4x + -3(2x + 9) + 57

Reorder the terms:
80 + -15 + 9x + -3x + -16x = 7x + -4x + -3(2x + 9) + 57

Combine like terms: 80 + -15 = 65
65 + 9x + -3x + -16x = 7x + -4x + -3(2x + 9) + 57

Combine like terms: 9x + -3x = 6x
65 + 6x + -16x = 7x + -4x + -3(2x + 9) + 57

Combine like terms: 6x + -16x = -10x
65 + -10x = 7x + -4x + -3(2x + 9) + 57

Reorder the terms:
65 + -10x = 7x + -4x + -3(9 + 2x) + 57
65 + -10x = 7x + -4x + (9 * -3 + 2x * -3) + 57
65 + -10x = 7x + -4x + (-27 + -6x) + 57

Reorder the terms:
65 + -10x = -27 + 57 + 7x + -4x + -6x

Combine like terms: -27 + 57 = 30
65 + -10x = 30 + 7x + -4x + -6x

Combine like terms: 7x + -4x = 3x
65 + -10x = 30 + 3x + -6x

Combine like terms: 3x + -6x = -3x
65 + -10x = 30 + -3x

Solving
65 + -10x = 30 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
65 + -10x + 3x = 30 + -3x + 3x

Combine like terms: -10x + 3x = -7x
65 + -7x = 30 + -3x + 3x

Combine like terms: -3x + 3x = 0
65 + -7x = 30 + 0
65 + -7x = 30

Add '-65' to each side of the equation.
65 + -65 + -7x = 30 + -65

Combine like terms: 65 + -65 = 0
0 + -7x = 30 + -65
-7x = 30 + -65

Combine like terms: 30 + -65 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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