13(x+2)-4(x-2)=4(x-3)+4(x-4)

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Solution for 13(x+2)-4(x-2)=4(x-3)+4(x-4) equation: 


Simplifying
13(x + 2) + -4(x + -2) = 4(x + -3) + 4(x + -4)

Reorder the terms:
13(2 + x) + -4(x + -2) = 4(x + -3) + 4(x + -4)
(2 * 13 + x * 13) + -4(x + -2) = 4(x + -3) + 4(x + -4)
(26 + 13x) + -4(x + -2) = 4(x + -3) + 4(x + -4)

Reorder the terms:
26 + 13x + -4(-2 + x) = 4(x + -3) + 4(x + -4)
26 + 13x + (-2 * -4 + x * -4) = 4(x + -3) + 4(x + -4)
26 + 13x + (8 + -4x) = 4(x + -3) + 4(x + -4)

Reorder the terms:
26 + 8 + 13x + -4x = 4(x + -3) + 4(x + -4)

Combine like terms: 26 + 8 = 34
34 + 13x + -4x = 4(x + -3) + 4(x + -4)

Combine like terms: 13x + -4x = 9x
34 + 9x = 4(x + -3) + 4(x + -4)

Reorder the terms:
34 + 9x = 4(-3 + x) + 4(x + -4)
34 + 9x = (-3 * 4 + x * 4) + 4(x + -4)
34 + 9x = (-12 + 4x) + 4(x + -4)

Reorder the terms:
34 + 9x = -12 + 4x + 4(-4 + x)
34 + 9x = -12 + 4x + (-4 * 4 + x * 4)
34 + 9x = -12 + 4x + (-16 + 4x)

Reorder the terms:
34 + 9x = -12 + -16 + 4x + 4x

Combine like terms: -12 + -16 = -28
34 + 9x = -28 + 4x + 4x

Combine like terms: 4x + 4x = 8x
34 + 9x = -28 + 8x

Solving
34 + 9x = -28 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
34 + 9x + -8x = -28 + 8x + -8x

Combine like terms: 9x + -8x = 1x
34 + 1x = -28 + 8x + -8x

Combine like terms: 8x + -8x = 0
34 + 1x = -28 + 0
34 + 1x = -28

Add '-34' to each side of the equation.
34 + -34 + 1x = -28 + -34

Combine like terms: 34 + -34 = 0
0 + 1x = -28 + -34
1x = -28 + -34

Combine like terms: -28 + -34 = -62
1x = -62

Divide each side by '1'.
x = -62

Simplifying
x = -62

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