30-2x=-8x-7(x-8)

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Solution for 30-2x=-8x-7(x-8) equation:


Simplifying
30 + -2x = -8x + -7(x + -8)

Reorder the terms:
30 + -2x = -8x + -7(-8 + x)
30 + -2x = -8x + (-8 * -7 + x * -7)
30 + -2x = -8x + (56 + -7x)

Reorder the terms:
30 + -2x = 56 + -8x + -7x

Combine like terms: -8x + -7x = -15x
30 + -2x = 56 + -15x

Solving
30 + -2x = 56 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
30 + -2x + 15x = 56 + -15x + 15x

Combine like terms: -2x + 15x = 13x
30 + 13x = 56 + -15x + 15x

Combine like terms: -15x + 15x = 0
30 + 13x = 56 + 0
30 + 13x = 56

Add '-30' to each side of the equation.
30 + -30 + 13x = 56 + -30

Combine like terms: 30 + -30 = 0
0 + 13x = 56 + -30
13x = 56 + -30

Combine like terms: 56 + -30 = 26
13x = 26

Divide each side by '13'.
x = 2

Simplifying
x = 2

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