(2x+13)+(7x-6)=2x+70

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Solution for (2x+13)+(7x-6)=2x+70 equation:


Simplifying
(2x + 13) + (7x + -6) = 2x + 70

Reorder the terms:
(13 + 2x) + (7x + -6) = 2x + 70

Remove parenthesis around (13 + 2x)
13 + 2x + (7x + -6) = 2x + 70

Reorder the terms:
13 + 2x + (-6 + 7x) = 2x + 70

Remove parenthesis around (-6 + 7x)
13 + 2x + -6 + 7x = 2x + 70

Reorder the terms:
13 + -6 + 2x + 7x = 2x + 70

Combine like terms: 13 + -6 = 7
7 + 2x + 7x = 2x + 70

Combine like terms: 2x + 7x = 9x
7 + 9x = 2x + 70

Reorder the terms:
7 + 9x = 70 + 2x

Solving
7 + 9x = 70 + 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.
7 + 9x + -2x = 70 + 2x + -2x

Combine like terms: 9x + -2x = 7x
7 + 7x = 70 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + 7x = 70 + 0
7 + 7x = 70

Add '-7' to each side of the equation.
7 + -7 + 7x = 70 + -7

Combine like terms: 7 + -7 = 0
0 + 7x = 70 + -7
7x = 70 + -7

Combine like terms: 70 + -7 = 63
7x = 63

Divide each side by '7'.
x = 9

Simplifying
x = 9

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