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

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


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

Reorder the terms:
13(4 + x) + -4(x + -2) = 4(x + -3) + 4(x + -3)
(4 * 13 + x * 13) + -4(x + -2) = 4(x + -3) + 4(x + -3)
(52 + 13x) + -4(x + -2) = 4(x + -3) + 4(x + -3)

Reorder the terms:
52 + 13x + -4(-2 + x) = 4(x + -3) + 4(x + -3)
52 + 13x + (-2 * -4 + x * -4) = 4(x + -3) + 4(x + -3)
52 + 13x + (8 + -4x) = 4(x + -3) + 4(x + -3)

Reorder the terms:
52 + 8 + 13x + -4x = 4(x + -3) + 4(x + -3)

Combine like terms: 52 + 8 = 60
60 + 13x + -4x = 4(x + -3) + 4(x + -3)

Combine like terms: 13x + -4x = 9x
60 + 9x = 4(x + -3) + 4(x + -3)

Reorder the terms:
60 + 9x = 4(-3 + x) + 4(x + -3)
60 + 9x = (-3 * 4 + x * 4) + 4(x + -3)
60 + 9x = (-12 + 4x) + 4(x + -3)

Reorder the terms:
60 + 9x = -12 + 4x + 4(-3 + x)
60 + 9x = -12 + 4x + (-3 * 4 + x * 4)
60 + 9x = -12 + 4x + (-12 + 4x)

Reorder the terms:
60 + 9x = -12 + -12 + 4x + 4x

Combine like terms: -12 + -12 = -24
60 + 9x = -24 + 4x + 4x

Combine like terms: 4x + 4x = 8x
60 + 9x = -24 + 8x

Solving
60 + 9x = -24 + 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.
60 + 9x + -8x = -24 + 8x + -8x

Combine like terms: 9x + -8x = 1x
60 + 1x = -24 + 8x + -8x

Combine like terms: 8x + -8x = 0
60 + 1x = -24 + 0
60 + 1x = -24

Add '-60' to each side of the equation.
60 + -60 + 1x = -24 + -60

Combine like terms: 60 + -60 = 0
0 + 1x = -24 + -60
1x = -24 + -60

Combine like terms: -24 + -60 = -84
1x = -84

Divide each side by '1'.
x = -84

Simplifying
x = -84

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