2x+7=1-6(x-5)

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Solution for 2x+7=1-6(x-5) equation:


Simplifying
2x + 7 = 1 + -6(x + -5)

Reorder the terms:
7 + 2x = 1 + -6(x + -5)

Reorder the terms:
7 + 2x = 1 + -6(-5 + x)
7 + 2x = 1 + (-5 * -6 + x * -6)
7 + 2x = 1 + (30 + -6x)

Combine like terms: 1 + 30 = 31
7 + 2x = 31 + -6x

Solving
7 + 2x = 31 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
7 + 2x + 6x = 31 + -6x + 6x

Combine like terms: 2x + 6x = 8x
7 + 8x = 31 + -6x + 6x

Combine like terms: -6x + 6x = 0
7 + 8x = 31 + 0
7 + 8x = 31

Add '-7' to each side of the equation.
7 + -7 + 8x = 31 + -7

Combine like terms: 7 + -7 = 0
0 + 8x = 31 + -7
8x = 31 + -7

Combine like terms: 31 + -7 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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