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

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


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

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

Combine like terms: 3x + x = 4x
-6 + 4x = 2(5x + -9)

Reorder the terms:
-6 + 4x = 2(-9 + 5x)
-6 + 4x = (-9 * 2 + 5x * 2)
-6 + 4x = (-18 + 10x)

Solving
-6 + 4x = -18 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-6 + 4x + -10x = -18 + 10x + -10x

Combine like terms: 4x + -10x = -6x
-6 + -6x = -18 + 10x + -10x

Combine like terms: 10x + -10x = 0
-6 + -6x = -18 + 0
-6 + -6x = -18

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

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

Combine like terms: -18 + 6 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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