6(x+1)-4x=5x-9

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Solution for 6(x+1)-4x=5x-9 equation:


Simplifying
6(x + 1) + -4x = 5x + -9

Reorder the terms:
6(1 + x) + -4x = 5x + -9
(1 * 6 + x * 6) + -4x = 5x + -9
(6 + 6x) + -4x = 5x + -9

Combine like terms: 6x + -4x = 2x
6 + 2x = 5x + -9

Reorder the terms:
6 + 2x = -9 + 5x

Solving
6 + 2x = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 2x + -5x = -9 + 5x + -5x

Combine like terms: 2x + -5x = -3x
6 + -3x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -3x = -9 + 0
6 + -3x = -9

Add '-6' to each side of the equation.
6 + -6 + -3x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -9 + -6
-3x = -9 + -6

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

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

Simplifying
x = 5

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