2x+(x+10)=-7(x+10)

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Solution for 2x+(x+10)=-7(x+10) equation:


Simplifying
2x + (x + 10) = -7(x + 10)

Reorder the terms:
2x + (10 + x) = -7(x + 10)

Remove parenthesis around (10 + x)
2x + 10 + x = -7(x + 10)

Reorder the terms:
10 + 2x + x = -7(x + 10)

Combine like terms: 2x + x = 3x
10 + 3x = -7(x + 10)

Reorder the terms:
10 + 3x = -7(10 + x)
10 + 3x = (10 * -7 + x * -7)
10 + 3x = (-70 + -7x)

Solving
10 + 3x = -70 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
10 + 3x + 7x = -70 + -7x + 7x

Combine like terms: 3x + 7x = 10x
10 + 10x = -70 + -7x + 7x

Combine like terms: -7x + 7x = 0
10 + 10x = -70 + 0
10 + 10x = -70

Add '-10' to each side of the equation.
10 + -10 + 10x = -70 + -10

Combine like terms: 10 + -10 = 0
0 + 10x = -70 + -10
10x = -70 + -10

Combine like terms: -70 + -10 = -80
10x = -80

Divide each side by '10'.
x = -8

Simplifying
x = -8

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