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

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


Simplifying
30 + 4(3 + 5x) = -2(x + -12)
30 + (3 * 4 + 5x * 4) = -2(x + -12)
30 + (12 + 20x) = -2(x + -12)

Combine like terms: 30 + 12 = 42
42 + 20x = -2(x + -12)

Reorder the terms:
42 + 20x = -2(-12 + x)
42 + 20x = (-12 * -2 + x * -2)
42 + 20x = (24 + -2x)

Solving
42 + 20x = 24 + -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.
42 + 20x + 2x = 24 + -2x + 2x

Combine like terms: 20x + 2x = 22x
42 + 22x = 24 + -2x + 2x

Combine like terms: -2x + 2x = 0
42 + 22x = 24 + 0
42 + 22x = 24

Add '-42' to each side of the equation.
42 + -42 + 22x = 24 + -42

Combine like terms: 42 + -42 = 0
0 + 22x = 24 + -42
22x = 24 + -42

Combine like terms: 24 + -42 = -18
22x = -18

Divide each side by '22'.
x = -0.8181818182

Simplifying
x = -0.8181818182

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