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

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


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

Reorder the terms:
2(3 + x) + 3(x + -5) + 9 = 7x + -8
(3 * 2 + x * 2) + 3(x + -5) + 9 = 7x + -8
(6 + 2x) + 3(x + -5) + 9 = 7x + -8

Reorder the terms:
6 + 2x + 3(-5 + x) + 9 = 7x + -8
6 + 2x + (-5 * 3 + x * 3) + 9 = 7x + -8
6 + 2x + (-15 + 3x) + 9 = 7x + -8

Reorder the terms:
6 + -15 + 9 + 2x + 3x = 7x + -8

Combine like terms: 6 + -15 = -9
-9 + 9 + 2x + 3x = 7x + -8

Combine like terms: -9 + 9 = 0
0 + 2x + 3x = 7x + -8
2x + 3x = 7x + -8

Combine like terms: 2x + 3x = 5x
5x = 7x + -8

Reorder the terms:
5x = -8 + 7x

Solving
5x = -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.
5x + -7x = -8 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-2x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
-2x = -8 + 0
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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