4(x-5)=6x+12

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Solution for 4(x-5)=6x+12 equation:


Simplifying
4(x + -5) = 6x + 12

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

Reorder the terms:
-20 + 4x = 12 + 6x

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

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

Combine like terms: 6x + -6x = 0
-20 + -2x = 12 + 0
-20 + -2x = 12

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

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

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

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

Simplifying
x = -16

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