4(3-x)-5(5-x)=104

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Solution for 4(3-x)-5(5-x)=104 equation:


Simplifying
4(3 + -1x) + -5(5 + -1x) = 104
(3 * 4 + -1x * 4) + -5(5 + -1x) = 104
(12 + -4x) + -5(5 + -1x) = 104
12 + -4x + (5 * -5 + -1x * -5) = 104
12 + -4x + (-25 + 5x) = 104

Reorder the terms:
12 + -25 + -4x + 5x = 104

Combine like terms: 12 + -25 = -13
-13 + -4x + 5x = 104

Combine like terms: -4x + 5x = 1x
-13 + 1x = 104

Solving
-13 + 1x = 104

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 1x = 104 + 13

Combine like terms: -13 + 13 = 0
0 + 1x = 104 + 13
1x = 104 + 13

Combine like terms: 104 + 13 = 117
1x = 117

Divide each side by '1'.
x = 117

Simplifying
x = 117

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