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

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


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

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

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

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

Combine like terms: -6 + -6 = -12
-12 + 6x + 2x = 2x + -1 + 2x

Combine like terms: 6x + 2x = 8x
-12 + 8x = 2x + -1 + 2x

Reorder the terms:
-12 + 8x = -1 + 2x + 2x

Combine like terms: 2x + 2x = 4x
-12 + 8x = -1 + 4x

Solving
-12 + 8x = -1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + 8x + -4x = -1 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-12 + 4x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 4x = -1 + 0
-12 + 4x = -1

Add '12' to each side of the equation.
-12 + 12 + 4x = -1 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = -1 + 12
4x = -1 + 12

Combine like terms: -1 + 12 = 11
4x = 11

Divide each side by '4'.
x = 2.75

Simplifying
x = 2.75

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