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

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


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

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

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

Combine like terms: 8 + 2 = 10
7 + 2x = 10 + -8x

Solving
7 + 2x = 10 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
7 + 2x + 8x = 10 + -8x + 8x

Combine like terms: 2x + 8x = 10x
7 + 10x = 10 + -8x + 8x

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

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

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

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

Divide each side by '10'.
x = 0.3

Simplifying
x = 0.3

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