7-3x+13=4(x-2)

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Solution for 7-3x+13=4(x-2) equation:


Simplifying
7 + -3x + 13 = 4(x + -2)

Reorder the terms:
7 + 13 + -3x = 4(x + -2)

Combine like terms: 7 + 13 = 20
20 + -3x = 4(x + -2)

Reorder the terms:
20 + -3x = 4(-2 + x)
20 + -3x = (-2 * 4 + x * 4)
20 + -3x = (-8 + 4x)

Solving
20 + -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.
20 + -3x + -4x = -8 + 4x + -4x

Combine like terms: -3x + -4x = -7x
20 + -7x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -7x = -8 + 0
20 + -7x = -8

Add '-20' to each side of the equation.
20 + -20 + -7x = -8 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = -8 + -20
-7x = -8 + -20

Combine like terms: -8 + -20 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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