7(2x-3)+6=-2(-6x-20)

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Solution for 7(2x-3)+6=-2(-6x-20) equation:


Simplifying
7(2x + -3) + 6 = -2(-6x + -20)

Reorder the terms:
7(-3 + 2x) + 6 = -2(-6x + -20)
(-3 * 7 + 2x * 7) + 6 = -2(-6x + -20)
(-21 + 14x) + 6 = -2(-6x + -20)

Reorder the terms:
-21 + 6 + 14x = -2(-6x + -20)

Combine like terms: -21 + 6 = -15
-15 + 14x = -2(-6x + -20)

Reorder the terms:
-15 + 14x = -2(-20 + -6x)
-15 + 14x = (-20 * -2 + -6x * -2)
-15 + 14x = (40 + 12x)

Solving
-15 + 14x = 40 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-15 + 14x + -12x = 40 + 12x + -12x

Combine like terms: 14x + -12x = 2x
-15 + 2x = 40 + 12x + -12x

Combine like terms: 12x + -12x = 0
-15 + 2x = 40 + 0
-15 + 2x = 40

Add '15' to each side of the equation.
-15 + 15 + 2x = 40 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = 40 + 15
2x = 40 + 15

Combine like terms: 40 + 15 = 55
2x = 55

Divide each side by '2'.
x = 27.5

Simplifying
x = 27.5

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