-5(x+3)+3x+6=8x+8

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Solution for -5(x+3)+3x+6=8x+8 equation:


Simplifying
-5(x + 3) + 3x + 6 = 8x + 8

Reorder the terms:
-5(3 + x) + 3x + 6 = 8x + 8
(3 * -5 + x * -5) + 3x + 6 = 8x + 8
(-15 + -5x) + 3x + 6 = 8x + 8

Reorder the terms:
-15 + 6 + -5x + 3x = 8x + 8

Combine like terms: -15 + 6 = -9
-9 + -5x + 3x = 8x + 8

Combine like terms: -5x + 3x = -2x
-9 + -2x = 8x + 8

Reorder the terms:
-9 + -2x = 8 + 8x

Solving
-9 + -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.
-9 + -2x + -8x = 8 + 8x + -8x

Combine like terms: -2x + -8x = -10x
-9 + -10x = 8 + 8x + -8x

Combine like terms: 8x + -8x = 0
-9 + -10x = 8 + 0
-9 + -10x = 8

Add '9' to each side of the equation.
-9 + 9 + -10x = 8 + 9

Combine like terms: -9 + 9 = 0
0 + -10x = 8 + 9
-10x = 8 + 9

Combine like terms: 8 + 9 = 17
-10x = 17

Divide each side by '-10'.
x = -1.7

Simplifying
x = -1.7

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