2(x-9)+3x=6(x-1)-5

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Solution for 2(x-9)+3x=6(x-1)-5 equation: 


Simplifying
2(x + -9) + 3x = 6(x + -1) + -5

Reorder the terms:
2(-9 + x) + 3x = 6(x + -1) + -5
(-9 * 2 + x * 2) + 3x = 6(x + -1) + -5
(-18 + 2x) + 3x = 6(x + -1) + -5

Combine like terms: 2x + 3x = 5x
-18 + 5x = 6(x + -1) + -5

Reorder the terms:
-18 + 5x = 6(-1 + x) + -5
-18 + 5x = (-1 * 6 + x * 6) + -5
-18 + 5x = (-6 + 6x) + -5

Reorder the terms:
-18 + 5x = -6 + -5 + 6x

Combine like terms: -6 + -5 = -11
-18 + 5x = -11 + 6x

Solving
-18 + 5x = -11 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-18 + 5x + -6x = -11 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-18 + -1x = -11 + 6x + -6x

Combine like terms: 6x + -6x = 0
-18 + -1x = -11 + 0
-18 + -1x = -11

Add '18' to each side of the equation.
-18 + 18 + -1x = -11 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = -11 + 18
-1x = -11 + 18

Combine like terms: -11 + 18 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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