3(2x-5)+20=-2(x+6)

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Solution for 3(2x-5)+20=-2(x+6) equation:


Simplifying
3(2x + -5) + 20 = -2(x + 6)

Reorder the terms:
3(-5 + 2x) + 20 = -2(x + 6)
(-5 * 3 + 2x * 3) + 20 = -2(x + 6)
(-15 + 6x) + 20 = -2(x + 6)

Reorder the terms:
-15 + 20 + 6x = -2(x + 6)

Combine like terms: -15 + 20 = 5
5 + 6x = -2(x + 6)

Reorder the terms:
5 + 6x = -2(6 + x)
5 + 6x = (6 * -2 + x * -2)
5 + 6x = (-12 + -2x)

Solving
5 + 6x = -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.
5 + 6x + 2x = -12 + -2x + 2x

Combine like terms: 6x + 2x = 8x
5 + 8x = -12 + -2x + 2x

Combine like terms: -2x + 2x = 0
5 + 8x = -12 + 0
5 + 8x = -12

Add '-5' to each side of the equation.
5 + -5 + 8x = -12 + -5

Combine like terms: 5 + -5 = 0
0 + 8x = -12 + -5
8x = -12 + -5

Combine like terms: -12 + -5 = -17
8x = -17

Divide each side by '8'.
x = -2.125

Simplifying
x = -2.125

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