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

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


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

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

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

Combine like terms: -6 + 7 = 1
1 + 2x = 3x + -8

Reorder the terms:
1 + 2x = -8 + 3x

Solving
1 + 2x = -8 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
1 + 2x + -3x = -8 + 3x + -3x

Combine like terms: 2x + -3x = -1x
1 + -1x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + -1x = -8 + 0
1 + -1x = -8

Add '-1' to each side of the equation.
1 + -1 + -1x = -8 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = -8 + -1
-1x = -8 + -1

Combine like terms: -8 + -1 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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