5(6+x)=4(x-3)

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Solution for 5(6+x)=4(x-3) equation: 


Simplifying
5(6 + x) = 4(x + -3)
(6 * 5 + x * 5) = 4(x + -3)
(30 + 5x) = 4(x + -3)

Reorder the terms:
30 + 5x = 4(-3 + x)
30 + 5x = (-3 * 4 + x * 4)
30 + 5x = (-12 + 4x)

Solving
30 + 5x = -12 + 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 = -12 + 4x + -4x

Combine like terms: 5x + -4x = 1x
30 + 1x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
30 + 1x = -12 + 0
30 + 1x = -12

Add '-30' to each side of the equation.
30 + -30 + 1x = -12 + -30

Combine like terms: 30 + -30 = 0
0 + 1x = -12 + -30
1x = -12 + -30

Combine like terms: -12 + -30 = -42
1x = -42

Divide each side by '1'.
x = -42

Simplifying
x = -42

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