5(x+2)=6(x-8)

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Solution for 5(x+2)=6(x-8) equation:


Simplifying
5(x + 2) = 6(x + -8)

Reorder the terms:
5(2 + x) = 6(x + -8)
(2 * 5 + x * 5) = 6(x + -8)
(10 + 5x) = 6(x + -8)

Reorder the terms:
10 + 5x = 6(-8 + x)
10 + 5x = (-8 * 6 + x * 6)
10 + 5x = (-48 + 6x)

Solving
10 + 5x = -48 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
10 + 5x + -6x = -48 + 6x + -6x

Combine like terms: 5x + -6x = -1x
10 + -1x = -48 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -1x = -48 + 0
10 + -1x = -48

Add '-10' to each side of the equation.
10 + -10 + -1x = -48 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -48 + -10
-1x = -48 + -10

Combine like terms: -48 + -10 = -58
-1x = -58

Divide each side by '-1'.
x = 58

Simplifying
x = 58

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