4+12x-12*3-5x*3-2(2x+x)+5(2-x)+8+2-5x=30+5x

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Solution for 4+12x-12*3-5x*3-2(2x+x)+5(2-x)+8+2-5x=30+5x equation:


Simplifying
4 + 12x + -12 * 3 + -5x * 3 + -2(2x + x) + 5(2 + -1x) + 8 + 2 + -5x = 30 + 5x

Multiply -12 * 3
4 + 12x + -36 + -5x * 3 + -2(2x + x) + 5(2 + -1x) + 8 + 2 + -5x = 30 + 5x

Reorder the terms for easier multiplication:
4 + 12x + -36 + -5 * 3x + -2(2x + x) + 5(2 + -1x) + 8 + 2 + -5x = 30 + 5x

Multiply -5 * 3
4 + 12x + -36 + -15x + -2(2x + x) + 5(2 + -1x) + 8 + 2 + -5x = 30 + 5x

Combine like terms: 2x + x = 3x
4 + 12x + -36 + -15x + -2(3x) + 5(2 + -1x) + 8 + 2 + -5x = 30 + 5x

Remove parenthesis around (3x)
4 + 12x + -36 + -15x + -2 * 3x + 5(2 + -1x) + 8 + 2 + -5x = 30 + 5x

Multiply -2 * 3
4 + 12x + -36 + -15x + -6x + 5(2 + -1x) + 8 + 2 + -5x = 30 + 5x
4 + 12x + -36 + -15x + -6x + (2 * 5 + -1x * 5) + 8 + 2 + -5x = 30 + 5x
4 + 12x + -36 + -15x + -6x + (10 + -5x) + 8 + 2 + -5x = 30 + 5x

Reorder the terms:
4 + -36 + 10 + 8 + 2 + 12x + -15x + -6x + -5x + -5x = 30 + 5x

Combine like terms: 4 + -36 = -32
-32 + 10 + 8 + 2 + 12x + -15x + -6x + -5x + -5x = 30 + 5x

Combine like terms: -32 + 10 = -22
-22 + 8 + 2 + 12x + -15x + -6x + -5x + -5x = 30 + 5x

Combine like terms: -22 + 8 = -14
-14 + 2 + 12x + -15x + -6x + -5x + -5x = 30 + 5x

Combine like terms: -14 + 2 = -12
-12 + 12x + -15x + -6x + -5x + -5x = 30 + 5x

Combine like terms: 12x + -15x = -3x
-12 + -3x + -6x + -5x + -5x = 30 + 5x

Combine like terms: -3x + -6x = -9x
-12 + -9x + -5x + -5x = 30 + 5x

Combine like terms: -9x + -5x = -14x
-12 + -14x + -5x = 30 + 5x

Combine like terms: -14x + -5x = -19x
-12 + -19x = 30 + 5x

Solving
-12 + -19x = 30 + 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.
-12 + -19x + -5x = 30 + 5x + -5x

Combine like terms: -19x + -5x = -24x
-12 + -24x = 30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + -24x = 30 + 0
-12 + -24x = 30

Add '12' to each side of the equation.
-12 + 12 + -24x = 30 + 12

Combine like terms: -12 + 12 = 0
0 + -24x = 30 + 12
-24x = 30 + 12

Combine like terms: 30 + 12 = 42
-24x = 42

Divide each side by '-24'.
x = -1.75

Simplifying
x = -1.75

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