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

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


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

Reorder the terms:
4(3 + 2x) + -7 = 13 + 2x
(3 * 4 + 2x * 4) + -7 = 13 + 2x
(12 + 8x) + -7 = 13 + 2x

Reorder the terms:
12 + -7 + 8x = 13 + 2x

Combine like terms: 12 + -7 = 5
5 + 8x = 13 + 2x

Solving
5 + 8x = 13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5 + 8x + -2x = 13 + 2x + -2x

Combine like terms: 8x + -2x = 6x
5 + 6x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 6x = 13 + 0
5 + 6x = 13

Add '-5' to each side of the equation.
5 + -5 + 6x = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 13 + -5
6x = 13 + -5

Combine like terms: 13 + -5 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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