8x+2=7(x-5)+8

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Solution for 8x+2=7(x-5)+8 equation: 


Simplifying
8x + 2 = 7(x + -5) + 8

Reorder the terms:
2 + 8x = 7(x + -5) + 8

Reorder the terms:
2 + 8x = 7(-5 + x) + 8
2 + 8x = (-5 * 7 + x * 7) + 8
2 + 8x = (-35 + 7x) + 8

Reorder the terms:
2 + 8x = -35 + 8 + 7x

Combine like terms: -35 + 8 = -27
2 + 8x = -27 + 7x

Solving
2 + 8x = -27 + 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.
2 + 8x + -7x = -27 + 7x + -7x

Combine like terms: 8x + -7x = 1x
2 + 1x = -27 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + 1x = -27 + 0
2 + 1x = -27

Add '-2' to each side of the equation.
2 + -2 + 1x = -27 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -27 + -2
1x = -27 + -2

Combine like terms: -27 + -2 = -29
1x = -29

Divide each side by '1'.
x = -29

Simplifying
x = -29

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