4(2x-5)-6=-2x+8

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Solution for 4(2x-5)-6=-2x+8 equation:


Simplifying
4(2x + -5) + -6 = -2x + 8

Reorder the terms:
4(-5 + 2x) + -6 = -2x + 8
(-5 * 4 + 2x * 4) + -6 = -2x + 8
(-20 + 8x) + -6 = -2x + 8

Reorder the terms:
-20 + -6 + 8x = -2x + 8

Combine like terms: -20 + -6 = -26
-26 + 8x = -2x + 8

Reorder the terms:
-26 + 8x = 8 + -2x

Solving
-26 + 8x = 8 + -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 + 8x + 2x = 8 + -2x + 2x

Combine like terms: 8x + 2x = 10x
-26 + 10x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-26 + 10x = 8 + 0
-26 + 10x = 8

Add '26' to each side of the equation.
-26 + 26 + 10x = 8 + 26

Combine like terms: -26 + 26 = 0
0 + 10x = 8 + 26
10x = 8 + 26

Combine like terms: 8 + 26 = 34
10x = 34

Divide each side by '10'.
x = 3.4

Simplifying
x = 3.4

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