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

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


Simplifying
2(4 + -1x) + -3(5 + -1x) = 3
(4 * 2 + -1x * 2) + -3(5 + -1x) = 3
(8 + -2x) + -3(5 + -1x) = 3
8 + -2x + (5 * -3 + -1x * -3) = 3
8 + -2x + (-15 + 3x) = 3

Reorder the terms:
8 + -15 + -2x + 3x = 3

Combine like terms: 8 + -15 = -7
-7 + -2x + 3x = 3

Combine like terms: -2x + 3x = 1x
-7 + 1x = 3

Solving
-7 + 1x = 3

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 1x = 3 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = 3 + 7
1x = 3 + 7

Combine like terms: 3 + 7 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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