4(x+2)=13-x

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


Simplifying
4(x + 2) = 13 + -1x

Reorder the terms:
4(2 + x) = 13 + -1x
(2 * 4 + x * 4) = 13 + -1x
(8 + 4x) = 13 + -1x

Solving
8 + 4x = 13 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
8 + 4x + x = 13 + -1x + x

Combine like terms: 4x + x = 5x
8 + 5x = 13 + -1x + x

Combine like terms: -1x + x = 0
8 + 5x = 13 + 0
8 + 5x = 13

Add '-8' to each side of the equation.
8 + -8 + 5x = 13 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 13 + -8
5x = 13 + -8

Combine like terms: 13 + -8 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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