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

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


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

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

Reorder the terms:
8 + 2x = -3(-7 + 2x) + -3
8 + 2x = (-7 * -3 + 2x * -3) + -3
8 + 2x = (21 + -6x) + -3

Reorder the terms:
8 + 2x = 21 + -3 + -6x

Combine like terms: 21 + -3 = 18
8 + 2x = 18 + -6x

Solving
8 + 2x = 18 + -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.
8 + 2x + 6x = 18 + -6x + 6x

Combine like terms: 2x + 6x = 8x
8 + 8x = 18 + -6x + 6x

Combine like terms: -6x + 6x = 0
8 + 8x = 18 + 0
8 + 8x = 18

Add '-8' to each side of the equation.
8 + -8 + 8x = 18 + -8

Combine like terms: 8 + -8 = 0
0 + 8x = 18 + -8
8x = 18 + -8

Combine like terms: 18 + -8 = 10
8x = 10

Divide each side by '8'.
x = 1.25

Simplifying
x = 1.25

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