2x+7(3x+1)=13x-8

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Solution for 2x+7(3x+1)=13x-8 equation:


Simplifying
2x + 7(3x + 1) = 13x + -8

Reorder the terms:
2x + 7(1 + 3x) = 13x + -8
2x + (1 * 7 + 3x * 7) = 13x + -8
2x + (7 + 21x) = 13x + -8

Reorder the terms:
7 + 2x + 21x = 13x + -8

Combine like terms: 2x + 21x = 23x
7 + 23x = 13x + -8

Reorder the terms:
7 + 23x = -8 + 13x

Solving
7 + 23x = -8 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
7 + 23x + -13x = -8 + 13x + -13x

Combine like terms: 23x + -13x = 10x
7 + 10x = -8 + 13x + -13x

Combine like terms: 13x + -13x = 0
7 + 10x = -8 + 0
7 + 10x = -8

Add '-7' to each side of the equation.
7 + -7 + 10x = -8 + -7

Combine like terms: 7 + -7 = 0
0 + 10x = -8 + -7
10x = -8 + -7

Combine like terms: -8 + -7 = -15
10x = -15

Divide each side by '10'.
x = -1.5

Simplifying
x = -1.5

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