2(-7x+10)=-6(3x+2)

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Solution for 2(-7x+10)=-6(3x+2) equation: 


Simplifying
2(-7x + 10) = -6(3x + 2)

Reorder the terms:
2(10 + -7x) = -6(3x + 2)
(10 * 2 + -7x * 2) = -6(3x + 2)
(20 + -14x) = -6(3x + 2)

Reorder the terms:
20 + -14x = -6(2 + 3x)
20 + -14x = (2 * -6 + 3x * -6)
20 + -14x = (-12 + -18x)

Solving
20 + -14x = -12 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
20 + -14x + 18x = -12 + -18x + 18x

Combine like terms: -14x + 18x = 4x
20 + 4x = -12 + -18x + 18x

Combine like terms: -18x + 18x = 0
20 + 4x = -12 + 0
20 + 4x = -12

Add '-20' to each side of the equation.
20 + -20 + 4x = -12 + -20

Combine like terms: 20 + -20 = 0
0 + 4x = -12 + -20
4x = -12 + -20

Combine like terms: -12 + -20 = -32
4x = -32

Divide each side by '4'.
x = -8

Simplifying
x = -8

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