-4(x-5)=6x-20

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Solution for -4(x-5)=6x-20 equation:


Simplifying
-4(x + -5) = 6x + -20

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

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

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

Combine like terms: -4x + -6x = -10x
20 + -10x = -20 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -10x = -20 + 0
20 + -10x = -20

Add '-20' to each side of the equation.
20 + -20 + -10x = -20 + -20

Combine like terms: 20 + -20 = 0
0 + -10x = -20 + -20
-10x = -20 + -20

Combine like terms: -20 + -20 = -40
-10x = -40

Divide each side by '-10'.
x = 4

Simplifying
x = 4

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