6x+2(x-3)=4x+x-18

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Solution for 6x+2(x-3)=4x+x-18 equation:


Simplifying
6x + 2(x + -3) = 4x + x + -18

Reorder the terms:
6x + 2(-3 + x) = 4x + x + -18
6x + (-3 * 2 + x * 2) = 4x + x + -18
6x + (-6 + 2x) = 4x + x + -18

Reorder the terms:
-6 + 6x + 2x = 4x + x + -18

Combine like terms: 6x + 2x = 8x
-6 + 8x = 4x + x + -18

Reorder the terms:
-6 + 8x = -18 + 4x + x

Combine like terms: 4x + x = 5x
-6 + 8x = -18 + 5x

Solving
-6 + 8x = -18 + 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 + 8x + -5x = -18 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-6 + 3x = -18 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + 3x = -18 + 0
-6 + 3x = -18

Add '6' to each side of the equation.
-6 + 6 + 3x = -18 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = -18 + 6
3x = -18 + 6

Combine like terms: -18 + 6 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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