10(4x+18)=-24(x-3)

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Solution for 10(4x+18)=-24(x-3) equation:


Simplifying
10(4x + 18) = -24(x + -3)

Reorder the terms:
10(18 + 4x) = -24(x + -3)
(18 * 10 + 4x * 10) = -24(x + -3)
(180 + 40x) = -24(x + -3)

Reorder the terms:
180 + 40x = -24(-3 + x)
180 + 40x = (-3 * -24 + x * -24)
180 + 40x = (72 + -24x)

Solving
180 + 40x = 72 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
180 + 40x + 24x = 72 + -24x + 24x

Combine like terms: 40x + 24x = 64x
180 + 64x = 72 + -24x + 24x

Combine like terms: -24x + 24x = 0
180 + 64x = 72 + 0
180 + 64x = 72

Add '-180' to each side of the equation.
180 + -180 + 64x = 72 + -180

Combine like terms: 180 + -180 = 0
0 + 64x = 72 + -180
64x = 72 + -180

Combine like terms: 72 + -180 = -108
64x = -108

Divide each side by '64'.
x = -1.6875

Simplifying
x = -1.6875

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