45-(2x+3)=2(x-6)+x

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Solution for 45-(2x+3)=2(x-6)+x equation:


Simplifying
45 + -1(2x + 3) = 2(x + -6) + x

Reorder the terms:
45 + -1(3 + 2x) = 2(x + -6) + x
45 + (3 * -1 + 2x * -1) = 2(x + -6) + x
45 + (-3 + -2x) = 2(x + -6) + x

Combine like terms: 45 + -3 = 42
42 + -2x = 2(x + -6) + x

Reorder the terms:
42 + -2x = 2(-6 + x) + x
42 + -2x = (-6 * 2 + x * 2) + x
42 + -2x = (-12 + 2x) + x

Combine like terms: 2x + x = 3x
42 + -2x = -12 + 3x

Solving
42 + -2x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
42 + -2x + -3x = -12 + 3x + -3x

Combine like terms: -2x + -3x = -5x
42 + -5x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
42 + -5x = -12 + 0
42 + -5x = -12

Add '-42' to each side of the equation.
42 + -42 + -5x = -12 + -42

Combine like terms: 42 + -42 = 0
0 + -5x = -12 + -42
-5x = -12 + -42

Combine like terms: -12 + -42 = -54
-5x = -54

Divide each side by '-5'.
x = 10.8

Simplifying
x = 10.8

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