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

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


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

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

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

Reorder the terms:
-6 + 3 + 2x + 1x = 6x

Combine like terms: -6 + 3 = -3
-3 + 2x + 1x = 6x

Combine like terms: 2x + 1x = 3x
-3 + 3x = 6x

Solving
-3 + 3x = 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.
-3 + 3x + -6x = 6x + -6x

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

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

Add '3' to each side of the equation.
-3 + 3 + -3x = 0 + 3

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

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

Divide each side by '-3'.
x = -1

Simplifying
x = -1

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