8(x+4)-3(x+2)=3(x-1)-(x+7)

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Solution for 8(x+4)-3(x+2)=3(x-1)-(x+7) equation: 


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

Reorder the terms:
8(4 + x) + -3(x + 2) = 3(x + -1) + -1(x + 7)
(4 * 8 + x * 8) + -3(x + 2) = 3(x + -1) + -1(x + 7)
(32 + 8x) + -3(x + 2) = 3(x + -1) + -1(x + 7)

Reorder the terms:
32 + 8x + -3(2 + x) = 3(x + -1) + -1(x + 7)
32 + 8x + (2 * -3 + x * -3) = 3(x + -1) + -1(x + 7)
32 + 8x + (-6 + -3x) = 3(x + -1) + -1(x + 7)

Reorder the terms:
32 + -6 + 8x + -3x = 3(x + -1) + -1(x + 7)

Combine like terms: 32 + -6 = 26
26 + 8x + -3x = 3(x + -1) + -1(x + 7)

Combine like terms: 8x + -3x = 5x
26 + 5x = 3(x + -1) + -1(x + 7)

Reorder the terms:
26 + 5x = 3(-1 + x) + -1(x + 7)
26 + 5x = (-1 * 3 + x * 3) + -1(x + 7)
26 + 5x = (-3 + 3x) + -1(x + 7)

Reorder the terms:
26 + 5x = -3 + 3x + -1(7 + x)
26 + 5x = -3 + 3x + (7 * -1 + x * -1)
26 + 5x = -3 + 3x + (-7 + -1x)

Reorder the terms:
26 + 5x = -3 + -7 + 3x + -1x

Combine like terms: -3 + -7 = -10
26 + 5x = -10 + 3x + -1x

Combine like terms: 3x + -1x = 2x
26 + 5x = -10 + 2x

Solving
26 + 5x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
26 + 5x + -2x = -10 + 2x + -2x

Combine like terms: 5x + -2x = 3x
26 + 3x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
26 + 3x = -10 + 0
26 + 3x = -10

Add '-26' to each side of the equation.
26 + -26 + 3x = -10 + -26

Combine like terms: 26 + -26 = 0
0 + 3x = -10 + -26
3x = -10 + -26

Combine like terms: -10 + -26 = -36
3x = -36

Divide each side by '3'.
x = -12

Simplifying
x = -12

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