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

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


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

Reorder the terms:
2(3 + x) + 7 = 8x + -8
(3 * 2 + x * 2) + 7 = 8x + -8
(6 + 2x) + 7 = 8x + -8

Reorder the terms:
6 + 7 + 2x = 8x + -8

Combine like terms: 6 + 7 = 13
13 + 2x = 8x + -8

Reorder the terms:
13 + 2x = -8 + 8x

Solving
13 + 2x = -8 + 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.
13 + 2x + -8x = -8 + 8x + -8x

Combine like terms: 2x + -8x = -6x
13 + -6x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
13 + -6x = -8 + 0
13 + -6x = -8

Add '-13' to each side of the equation.
13 + -13 + -6x = -8 + -13

Combine like terms: 13 + -13 = 0
0 + -6x = -8 + -13
-6x = -8 + -13

Combine like terms: -8 + -13 = -21
-6x = -21

Divide each side by '-6'.
x = 3.5

Simplifying
x = 3.5

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