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

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


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

Reorder the terms:
6x + 2(-3 + -2x) = 1 + -5x
6x + (-3 * 2 + -2x * 2) = 1 + -5x
6x + (-6 + -4x) = 1 + -5x

Reorder the terms:
-6 + 6x + -4x = 1 + -5x

Combine like terms: 6x + -4x = 2x
-6 + 2x = 1 + -5x

Solving
-6 + 2x = 1 + -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 + 2x + 5x = 1 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-6 + 7x = 1 + -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + 7x = 1 + 0
-6 + 7x = 1

Add '6' to each side of the equation.
-6 + 6 + 7x = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 1 + 6
7x = 1 + 6

Combine like terms: 1 + 6 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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