8x+8=7(x-3)-2

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Solution for 8x+8=7(x-3)-2 equation:


Simplifying
8x + 8 = 7(x + -3) + -2

Reorder the terms:
8 + 8x = 7(x + -3) + -2

Reorder the terms:
8 + 8x = 7(-3 + x) + -2
8 + 8x = (-3 * 7 + x * 7) + -2
8 + 8x = (-21 + 7x) + -2

Reorder the terms:
8 + 8x = -21 + -2 + 7x

Combine like terms: -21 + -2 = -23
8 + 8x = -23 + 7x

Solving
8 + 8x = -23 + 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.
8 + 8x + -7x = -23 + 7x + -7x

Combine like terms: 8x + -7x = 1x
8 + 1x = -23 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + 1x = -23 + 0
8 + 1x = -23

Add '-8' to each side of the equation.
8 + -8 + 1x = -23 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = -23 + -8
1x = -23 + -8

Combine like terms: -23 + -8 = -31
1x = -31

Divide each side by '1'.
x = -31

Simplifying
x = -31

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