-2x+9=3(2x-5)+8

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Solution for -2x+9=3(2x-5)+8 equation:


Simplifying
-2x + 9 = 3(2x + -5) + 8

Reorder the terms:
9 + -2x = 3(2x + -5) + 8

Reorder the terms:
9 + -2x = 3(-5 + 2x) + 8
9 + -2x = (-5 * 3 + 2x * 3) + 8
9 + -2x = (-15 + 6x) + 8

Reorder the terms:
9 + -2x = -15 + 8 + 6x

Combine like terms: -15 + 8 = -7
9 + -2x = -7 + 6x

Solving
9 + -2x = -7 + 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.
9 + -2x + -6x = -7 + 6x + -6x

Combine like terms: -2x + -6x = -8x
9 + -8x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -8x = -7 + 0
9 + -8x = -7

Add '-9' to each side of the equation.
9 + -9 + -8x = -7 + -9

Combine like terms: 9 + -9 = 0
0 + -8x = -7 + -9
-8x = -7 + -9

Combine like terms: -7 + -9 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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