7x+8(x+1)=-(-2x-10)

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Solution for 7x+8(x+1)=-(-2x-10) equation:


Simplifying
7x + 8(x + 1) = -1(-2x + -10)

Reorder the terms:
7x + 8(1 + x) = -1(-2x + -10)
7x + (1 * 8 + x * 8) = -1(-2x + -10)
7x + (8 + 8x) = -1(-2x + -10)

Reorder the terms:
8 + 7x + 8x = -1(-2x + -10)

Combine like terms: 7x + 8x = 15x
8 + 15x = -1(-2x + -10)

Reorder the terms:
8 + 15x = -1(-10 + -2x)
8 + 15x = (-10 * -1 + -2x * -1)
8 + 15x = (10 + 2x)

Solving
8 + 15x = 10 + 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.
8 + 15x + -2x = 10 + 2x + -2x

Combine like terms: 15x + -2x = 13x
8 + 13x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 13x = 10 + 0
8 + 13x = 10

Add '-8' to each side of the equation.
8 + -8 + 13x = 10 + -8

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

Combine like terms: 10 + -8 = 2
13x = 2

Divide each side by '13'.
x = 0.1538461538

Simplifying
x = 0.1538461538

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