13=2(x+3)-7

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


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

Reorder the terms:
13 = 2(3 + x) + -7
13 = (3 * 2 + x * 2) + -7
13 = (6 + 2x) + -7

Reorder the terms:
13 = 6 + -7 + 2x

Combine like terms: 6 + -7 = -1
13 = -1 + 2x

Solving
13 = -1 + 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.
13 + -2x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
13 + -2x = -1 + 0
13 + -2x = -1

Add '-13' to each side of the equation.
13 + -13 + -2x = -1 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = -1 + -13
-2x = -1 + -13

Combine like terms: -1 + -13 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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