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

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


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

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

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

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

Combine like terms: 3x + -4x = -1x
-13 + x = 4(8 + -1x)
-13 + x = (8 * 4 + -1x * 4)
-13 + x = (32 + -4x)

Solving
-13 + x = 32 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-13 + x + 4x = 32 + -4x + 4x

Combine like terms: x + 4x = 5x
-13 + 5x = 32 + -4x + 4x

Combine like terms: -4x + 4x = 0
-13 + 5x = 32 + 0
-13 + 5x = 32

Add '13' to each side of the equation.
-13 + 13 + 5x = 32 + 13

Combine like terms: -13 + 13 = 0
0 + 5x = 32 + 13
5x = 32 + 13

Combine like terms: 32 + 13 = 45
5x = 45

Divide each side by '5'.
x = 9

Simplifying
x = 9

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