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

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


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

Reorder the terms:
2(5 + x) + -1(x + 3) = 2(x + -6)
(5 * 2 + x * 2) + -1(x + 3) = 2(x + -6)
(10 + 2x) + -1(x + 3) = 2(x + -6)

Reorder the terms:
10 + 2x + -1(3 + x) = 2(x + -6)
10 + 2x + (3 * -1 + x * -1) = 2(x + -6)
10 + 2x + (-3 + -1x) = 2(x + -6)

Reorder the terms:
10 + -3 + 2x + -1x = 2(x + -6)

Combine like terms: 10 + -3 = 7
7 + 2x + -1x = 2(x + -6)

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

Reorder the terms:
7 + 1x = 2(-6 + x)
7 + 1x = (-6 * 2 + x * 2)
7 + 1x = (-12 + 2x)

Solving
7 + 1x = -12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + 1x + -2x = -12 + 2x + -2x

Combine like terms: 1x + -2x = -1x
7 + -1x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -1x = -12 + 0
7 + -1x = -12

Add '-7' to each side of the equation.
7 + -7 + -1x = -12 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = -12 + -7
-1x = -12 + -7

Combine like terms: -12 + -7 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19

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