2x+7-3x+4=9x-8+4x-2

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Solution for 2x+7-3x+4=9x-8+4x-2 equation:


Simplifying
2x + 7 + -3x + 4 = 9x + -8 + 4x + -2

Reorder the terms:
7 + 4 + 2x + -3x = 9x + -8 + 4x + -2

Combine like terms: 7 + 4 = 11
11 + 2x + -3x = 9x + -8 + 4x + -2

Combine like terms: 2x + -3x = -1x
11 + -1x = 9x + -8 + 4x + -2

Reorder the terms:
11 + -1x = -8 + -2 + 9x + 4x

Combine like terms: -8 + -2 = -10
11 + -1x = -10 + 9x + 4x

Combine like terms: 9x + 4x = 13x
11 + -1x = -10 + 13x

Solving
11 + -1x = -10 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
11 + -1x + -13x = -10 + 13x + -13x

Combine like terms: -1x + -13x = -14x
11 + -14x = -10 + 13x + -13x

Combine like terms: 13x + -13x = 0
11 + -14x = -10 + 0
11 + -14x = -10

Add '-11' to each side of the equation.
11 + -11 + -14x = -10 + -11

Combine like terms: 11 + -11 = 0
0 + -14x = -10 + -11
-14x = -10 + -11

Combine like terms: -10 + -11 = -21
-14x = -21

Divide each side by '-14'.
x = 1.5

Simplifying
x = 1.5

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