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

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


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

Reorder the terms:
6(2 + x) = 4(x + -5)
(2 * 6 + x * 6) = 4(x + -5)
(12 + 6x) = 4(x + -5)

Reorder the terms:
12 + 6x = 4(-5 + x)
12 + 6x = (-5 * 4 + x * 4)
12 + 6x = (-20 + 4x)

Solving
12 + 6x = -20 + 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.
12 + 6x + -4x = -20 + 4x + -4x

Combine like terms: 6x + -4x = 2x
12 + 2x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 2x = -20 + 0
12 + 2x = -20

Add '-12' to each side of the equation.
12 + -12 + 2x = -20 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = -20 + -12
2x = -20 + -12

Combine like terms: -20 + -12 = -32
2x = -32

Divide each side by '2'.
x = -16

Simplifying
x = -16

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