10(4+5x)=-6(-12-8x)

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Solution for 10(4+5x)=-6(-12-8x) equation:


Simplifying
10(4 + 5x) = -6(-12 + -8x)
(4 * 10 + 5x * 10) = -6(-12 + -8x)
(40 + 50x) = -6(-12 + -8x)
40 + 50x = (-12 * -6 + -8x * -6)
40 + 50x = (72 + 48x)

Solving
40 + 50x = 72 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
40 + 50x + -48x = 72 + 48x + -48x

Combine like terms: 50x + -48x = 2x
40 + 2x = 72 + 48x + -48x

Combine like terms: 48x + -48x = 0
40 + 2x = 72 + 0
40 + 2x = 72

Add '-40' to each side of the equation.
40 + -40 + 2x = 72 + -40

Combine like terms: 40 + -40 = 0
0 + 2x = 72 + -40
2x = 72 + -40

Combine like terms: 72 + -40 = 32
2x = 32

Divide each side by '2'.
x = 16

Simplifying
x = 16

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