4(x-3)-4=-2(x-5)

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Solution for 4(x-3)-4=-2(x-5) equation:


Simplifying
4(x + -3) + -4 = -2(x + -5)

Reorder the terms:
4(-3 + x) + -4 = -2(x + -5)
(-3 * 4 + x * 4) + -4 = -2(x + -5)
(-12 + 4x) + -4 = -2(x + -5)

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

Combine like terms: -12 + -4 = -16
-16 + 4x = -2(x + -5)

Reorder the terms:
-16 + 4x = -2(-5 + x)
-16 + 4x = (-5 * -2 + x * -2)
-16 + 4x = (10 + -2x)

Solving
-16 + 4x = 10 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
-16 + 4x + 2x = 10 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-16 + 6x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
-16 + 6x = 10 + 0
-16 + 6x = 10

Add '16' to each side of the equation.
-16 + 16 + 6x = 10 + 16

Combine like terms: -16 + 16 = 0
0 + 6x = 10 + 16
6x = 10 + 16

Combine like terms: 10 + 16 = 26
6x = 26

Divide each side by '6'.
x = 4.333333333

Simplifying
x = 4.333333333

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