5(6+x)=4(x-2)

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Solution for 5(6+x)=4(x-2) equation: 


Simplifying
5(6 + x) = 4(x + -2)
(6 * 5 + x * 5) = 4(x + -2)
(30 + 5x) = 4(x + -2)

Reorder the terms:
30 + 5x = 4(-2 + x)
30 + 5x = (-2 * 4 + x * 4)
30 + 5x = (-8 + 4x)

Solving
30 + 5x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
30 + 5x + -4x = -8 + 4x + -4x

Combine like terms: 5x + -4x = 1x
30 + 1x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
30 + 1x = -8 + 0
30 + 1x = -8

Add '-30' to each side of the equation.
30 + -30 + 1x = -8 + -30

Combine like terms: 30 + -30 = 0
0 + 1x = -8 + -30
1x = -8 + -30

Combine like terms: -8 + -30 = -38
1x = -38

Divide each side by '1'.
x = -38

Simplifying
x = -38

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