13=4x-3(x-2)

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


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

Reorder the terms:
13 = 4x + -3(-2 + x)
13 = 4x + (-2 * -3 + x * -3)
13 = 4x + (6 + -3x)

Reorder the terms:
13 = 6 + 4x + -3x

Combine like terms: 4x + -3x = 1x
13 = 6 + 1x

Solving
13 = 6 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
13 + -1x = 6 + 1x + -1x

Combine like terms: 1x + -1x = 0
13 + -1x = 6 + 0
13 + -1x = 6

Add '-13' to each side of the equation.
13 + -13 + -1x = 6 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 6 + -13
-1x = 6 + -13

Combine like terms: 6 + -13 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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