3(x-8)=5(-2x+11)

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Solution for 3(x-8)=5(-2x+11) equation:


Simplifying
3(x + -8) = 5(-2x + 11)

Reorder the terms:
3(-8 + x) = 5(-2x + 11)
(-8 * 3 + x * 3) = 5(-2x + 11)
(-24 + 3x) = 5(-2x + 11)

Reorder the terms:
-24 + 3x = 5(11 + -2x)
-24 + 3x = (11 * 5 + -2x * 5)
-24 + 3x = (55 + -10x)

Solving
-24 + 3x = 55 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-24 + 3x + 10x = 55 + -10x + 10x

Combine like terms: 3x + 10x = 13x
-24 + 13x = 55 + -10x + 10x

Combine like terms: -10x + 10x = 0
-24 + 13x = 55 + 0
-24 + 13x = 55

Add '24' to each side of the equation.
-24 + 24 + 13x = 55 + 24

Combine like terms: -24 + 24 = 0
0 + 13x = 55 + 24
13x = 55 + 24

Combine like terms: 55 + 24 = 79
13x = 79

Divide each side by '13'.
x = 6.076923077

Simplifying
x = 6.076923077

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