5x+9-3(-6+2x)=7x+8

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Solution for 5x+9-3(-6+2x)=7x+8 equation: 


Simplifying
5x + 9 + -3(-6 + 2x) = 7x + 8
5x + 9 + (-6 * -3 + 2x * -3) = 7x + 8
5x + 9 + (18 + -6x) = 7x + 8

Reorder the terms:
9 + 18 + 5x + -6x = 7x + 8

Combine like terms: 9 + 18 = 27
27 + 5x + -6x = 7x + 8

Combine like terms: 5x + -6x = -1x
27 + -1x = 7x + 8

Reorder the terms:
27 + -1x = 8 + 7x

Solving
27 + -1x = 8 + 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.
27 + -1x + -7x = 8 + 7x + -7x

Combine like terms: -1x + -7x = -8x
27 + -8x = 8 + 7x + -7x

Combine like terms: 7x + -7x = 0
27 + -8x = 8 + 0
27 + -8x = 8

Add '-27' to each side of the equation.
27 + -27 + -8x = 8 + -27

Combine like terms: 27 + -27 = 0
0 + -8x = 8 + -27
-8x = 8 + -27

Combine like terms: 8 + -27 = -19
-8x = -19

Divide each side by '-8'.
x = 2.375

Simplifying
x = 2.375

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