9x-4(x+2)=2x-23

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Solution for 9x-4(x+2)=2x-23 equation:


Simplifying
9x + -4(x + 2) = 2x + -23

Reorder the terms:
9x + -4(2 + x) = 2x + -23
9x + (2 * -4 + x * -4) = 2x + -23
9x + (-8 + -4x) = 2x + -23

Reorder the terms:
-8 + 9x + -4x = 2x + -23

Combine like terms: 9x + -4x = 5x
-8 + 5x = 2x + -23

Reorder the terms:
-8 + 5x = -23 + 2x

Solving
-8 + 5x = -23 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-8 + 5x + -2x = -23 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-8 + 3x = -23 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + 3x = -23 + 0
-8 + 3x = -23

Add '8' to each side of the equation.
-8 + 8 + 3x = -23 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = -23 + 8
3x = -23 + 8

Combine like terms: -23 + 8 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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