4(x-5)=6x-2

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


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

Reorder the terms:
4(-5 + x) = 6x + -2
(-5 * 4 + x * 4) = 6x + -2
(-20 + 4x) = 6x + -2

Reorder the terms:
-20 + 4x = -2 + 6x

Solving
-20 + 4x = -2 + 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 = -2 + 6x + -6x

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

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

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

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

Combine like terms: -2 + 20 = 18
-2x = 18

Divide each side by '-2'.
x = -9

Simplifying
x = -9

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