-3(x+4)=8(5-2x)

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Solution for -3(x+4)=8(5-2x) equation:


Simplifying
-3(x + 4) = 8(5 + -2x)

Reorder the terms:
-3(4 + x) = 8(5 + -2x)
(4 * -3 + x * -3) = 8(5 + -2x)
(-12 + -3x) = 8(5 + -2x)
-12 + -3x = (5 * 8 + -2x * 8)
-12 + -3x = (40 + -16x)

Solving
-12 + -3x = 40 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
-12 + -3x + 16x = 40 + -16x + 16x

Combine like terms: -3x + 16x = 13x
-12 + 13x = 40 + -16x + 16x

Combine like terms: -16x + 16x = 0
-12 + 13x = 40 + 0
-12 + 13x = 40

Add '12' to each side of the equation.
-12 + 12 + 13x = 40 + 12

Combine like terms: -12 + 12 = 0
0 + 13x = 40 + 12
13x = 40 + 12

Combine like terms: 40 + 12 = 52
13x = 52

Divide each side by '13'.
x = 4

Simplifying
x = 4

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