7(-3x+2)=-8(4x-10)

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Solution for 7(-3x+2)=-8(4x-10) equation:


Simplifying
7(-3x + 2) = -8(4x + -10)

Reorder the terms:
7(2 + -3x) = -8(4x + -10)
(2 * 7 + -3x * 7) = -8(4x + -10)
(14 + -21x) = -8(4x + -10)

Reorder the terms:
14 + -21x = -8(-10 + 4x)
14 + -21x = (-10 * -8 + 4x * -8)
14 + -21x = (80 + -32x)

Solving
14 + -21x = 80 + -32x

Solving for variable 'x'.

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

Add '32x' to each side of the equation.
14 + -21x + 32x = 80 + -32x + 32x

Combine like terms: -21x + 32x = 11x
14 + 11x = 80 + -32x + 32x

Combine like terms: -32x + 32x = 0
14 + 11x = 80 + 0
14 + 11x = 80

Add '-14' to each side of the equation.
14 + -14 + 11x = 80 + -14

Combine like terms: 14 + -14 = 0
0 + 11x = 80 + -14
11x = 80 + -14

Combine like terms: 80 + -14 = 66
11x = 66

Divide each side by '11'.
x = 6

Simplifying
x = 6

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