2(5-2x)=8-3x

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Solution for 2(5-2x)=8-3x equation:


Simplifying
2(5 + -2x) = 8 + -3x
(5 * 2 + -2x * 2) = 8 + -3x
(10 + -4x) = 8 + -3x

Solving
10 + -4x = 8 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
10 + -4x + 3x = 8 + -3x + 3x

Combine like terms: -4x + 3x = -1x
10 + -1x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + -1x = 8 + 0
10 + -1x = 8

Add '-10' to each side of the equation.
10 + -10 + -1x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 8 + -10
-1x = 8 + -10

Combine like terms: 8 + -10 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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