4x+20-12x-18=13x+42-10+2x+9

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Solution for 4x+20-12x-18=13x+42-10+2x+9 equation:


Simplifying
4x + 20 + -12x + -18 = 13x + 42 + -10 + 2x + 9

Reorder the terms:
20 + -18 + 4x + -12x = 13x + 42 + -10 + 2x + 9

Combine like terms: 20 + -18 = 2
2 + 4x + -12x = 13x + 42 + -10 + 2x + 9

Combine like terms: 4x + -12x = -8x
2 + -8x = 13x + 42 + -10 + 2x + 9

Reorder the terms:
2 + -8x = 42 + -10 + 9 + 13x + 2x

Combine like terms: 42 + -10 = 32
2 + -8x = 32 + 9 + 13x + 2x

Combine like terms: 32 + 9 = 41
2 + -8x = 41 + 13x + 2x

Combine like terms: 13x + 2x = 15x
2 + -8x = 41 + 15x

Solving
2 + -8x = 41 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
2 + -8x + -15x = 41 + 15x + -15x

Combine like terms: -8x + -15x = -23x
2 + -23x = 41 + 15x + -15x

Combine like terms: 15x + -15x = 0
2 + -23x = 41 + 0
2 + -23x = 41

Add '-2' to each side of the equation.
2 + -2 + -23x = 41 + -2

Combine like terms: 2 + -2 = 0
0 + -23x = 41 + -2
-23x = 41 + -2

Combine like terms: 41 + -2 = 39
-23x = 39

Divide each side by '-23'.
x = -1.695652174

Simplifying
x = -1.695652174

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