4(x-5)-6=-2(x-3)

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Solution for 4(x-5)-6=-2(x-3) equation:


Simplifying
4(x + -5) + -6 = -2(x + -3)

Reorder the terms:
4(-5 + x) + -6 = -2(x + -3)
(-5 * 4 + x * 4) + -6 = -2(x + -3)
(-20 + 4x) + -6 = -2(x + -3)

Reorder the terms:
-20 + -6 + 4x = -2(x + -3)

Combine like terms: -20 + -6 = -26
-26 + 4x = -2(x + -3)

Reorder the terms:
-26 + 4x = -2(-3 + x)
-26 + 4x = (-3 * -2 + x * -2)
-26 + 4x = (6 + -2x)

Solving
-26 + 4x = 6 + -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.
-26 + 4x + 2x = 6 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-26 + 6x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-26 + 6x = 6 + 0
-26 + 6x = 6

Add '26' to each side of the equation.
-26 + 26 + 6x = 6 + 26

Combine like terms: -26 + 26 = 0
0 + 6x = 6 + 26
6x = 6 + 26

Combine like terms: 6 + 26 = 32
6x = 32

Divide each side by '6'.
x = 5.333333333

Simplifying
x = 5.333333333

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