10(2x-4)+5=2x-8

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Solution for 10(2x-4)+5=2x-8 equation:


Simplifying
10(2x + -4) + 5 = 2x + -8

Reorder the terms:
10(-4 + 2x) + 5 = 2x + -8
(-4 * 10 + 2x * 10) + 5 = 2x + -8
(-40 + 20x) + 5 = 2x + -8

Reorder the terms:
-40 + 5 + 20x = 2x + -8

Combine like terms: -40 + 5 = -35
-35 + 20x = 2x + -8

Reorder the terms:
-35 + 20x = -8 + 2x

Solving
-35 + 20x = -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.
-35 + 20x + -2x = -8 + 2x + -2x

Combine like terms: 20x + -2x = 18x
-35 + 18x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-35 + 18x = -8 + 0
-35 + 18x = -8

Add '35' to each side of the equation.
-35 + 35 + 18x = -8 + 35

Combine like terms: -35 + 35 = 0
0 + 18x = -8 + 35
18x = -8 + 35

Combine like terms: -8 + 35 = 27
18x = 27

Divide each side by '18'.
x = 1.5

Simplifying
x = 1.5

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