-12+13x=5(2x+1)+13

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Solution for -12+13x=5(2x+1)+13 equation:


Simplifying
-12 + 13x = 5(2x + 1) + 13

Reorder the terms:
-12 + 13x = 5(1 + 2x) + 13
-12 + 13x = (1 * 5 + 2x * 5) + 13
-12 + 13x = (5 + 10x) + 13

Reorder the terms:
-12 + 13x = 5 + 13 + 10x

Combine like terms: 5 + 13 = 18
-12 + 13x = 18 + 10x

Solving
-12 + 13x = 18 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-12 + 13x + -10x = 18 + 10x + -10x

Combine like terms: 13x + -10x = 3x
-12 + 3x = 18 + 10x + -10x

Combine like terms: 10x + -10x = 0
-12 + 3x = 18 + 0
-12 + 3x = 18

Add '12' to each side of the equation.
-12 + 12 + 3x = 18 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = 18 + 12
3x = 18 + 12

Combine like terms: 18 + 12 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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