13-3x=4(x-2)

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


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

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

Solving
13 + -3x = -8 + 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 + -3x + -4x = -8 + 4x + -4x

Combine like terms: -3x + -4x = -7x
13 + -7x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
13 + -7x = -8 + 0
13 + -7x = -8

Add '-13' to each side of the equation.
13 + -13 + -7x = -8 + -13

Combine like terms: 13 + -13 = 0
0 + -7x = -8 + -13
-7x = -8 + -13

Combine like terms: -8 + -13 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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