-5(2x+1)+2(x+6)=4x-5x

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Solution for -5(2x+1)+2(x+6)=4x-5x equation:


Simplifying
-5(2x + 1) + 2(x + 6) = 4x + -5x

Reorder the terms:
-5(1 + 2x) + 2(x + 6) = 4x + -5x
(1 * -5 + 2x * -5) + 2(x + 6) = 4x + -5x
(-5 + -10x) + 2(x + 6) = 4x + -5x

Reorder the terms:
-5 + -10x + 2(6 + x) = 4x + -5x
-5 + -10x + (6 * 2 + x * 2) = 4x + -5x
-5 + -10x + (12 + 2x) = 4x + -5x

Reorder the terms:
-5 + 12 + -10x + 2x = 4x + -5x

Combine like terms: -5 + 12 = 7
7 + -10x + 2x = 4x + -5x

Combine like terms: -10x + 2x = -8x
7 + -8x = 4x + -5x

Combine like terms: 4x + -5x = -1x
7 + -8x = -1x

Solving
7 + -8x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
7 + -8x + x = -1x + x

Combine like terms: -8x + x = -7x
7 + -7x = -1x + x

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

Add '-7' to each side of the equation.
7 + -7 + -7x = 0 + -7

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

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

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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