6(x+1)-4(x-5)=3(x-7)-4(x-2)

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Solution for 6(x+1)-4(x-5)=3(x-7)-4(x-2) equation: 


Simplifying
6(x + 1) + -4(x + -5) = 3(x + -7) + -4(x + -2)

Reorder the terms:
6(1 + x) + -4(x + -5) = 3(x + -7) + -4(x + -2)
(1 * 6 + x * 6) + -4(x + -5) = 3(x + -7) + -4(x + -2)
(6 + 6x) + -4(x + -5) = 3(x + -7) + -4(x + -2)

Reorder the terms:
6 + 6x + -4(-5 + x) = 3(x + -7) + -4(x + -2)
6 + 6x + (-5 * -4 + x * -4) = 3(x + -7) + -4(x + -2)
6 + 6x + (20 + -4x) = 3(x + -7) + -4(x + -2)

Reorder the terms:
6 + 20 + 6x + -4x = 3(x + -7) + -4(x + -2)

Combine like terms: 6 + 20 = 26
26 + 6x + -4x = 3(x + -7) + -4(x + -2)

Combine like terms: 6x + -4x = 2x
26 + 2x = 3(x + -7) + -4(x + -2)

Reorder the terms:
26 + 2x = 3(-7 + x) + -4(x + -2)
26 + 2x = (-7 * 3 + x * 3) + -4(x + -2)
26 + 2x = (-21 + 3x) + -4(x + -2)

Reorder the terms:
26 + 2x = -21 + 3x + -4(-2 + x)
26 + 2x = -21 + 3x + (-2 * -4 + x * -4)
26 + 2x = -21 + 3x + (8 + -4x)

Reorder the terms:
26 + 2x = -21 + 8 + 3x + -4x

Combine like terms: -21 + 8 = -13
26 + 2x = -13 + 3x + -4x

Combine like terms: 3x + -4x = -1x
26 + 2x = -13 + -1x

Solving
26 + 2x = -13 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
26 + 2x + x = -13 + -1x + x

Combine like terms: 2x + x = 3x
26 + 3x = -13 + -1x + x

Combine like terms: -1x + x = 0
26 + 3x = -13 + 0
26 + 3x = -13

Add '-26' to each side of the equation.
26 + -26 + 3x = -13 + -26

Combine like terms: 26 + -26 = 0
0 + 3x = -13 + -26
3x = -13 + -26

Combine like terms: -13 + -26 = -39
3x = -39

Divide each side by '3'.
x = -13

Simplifying
x = -13

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