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

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


Simplifying
2(5 + -2x) = 3(5 + -1x)
(5 * 2 + -2x * 2) = 3(5 + -1x)
(10 + -4x) = 3(5 + -1x)
10 + -4x = (5 * 3 + -1x * 3)
10 + -4x = (15 + -3x)

Solving
10 + -4x = 15 + -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 = 15 + -3x + 3x

Combine like terms: -4x + 3x = -1x
10 + -1x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + -1x = 15 + 0
10 + -1x = 15

Add '-10' to each side of the equation.
10 + -10 + -1x = 15 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 15 + -10
-1x = 15 + -10

Combine like terms: 15 + -10 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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