5(5-x)=3x+13

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Solution for 5(5-x)=3x+13 equation:


Simplifying
5(5 + -1x) = 3x + 13
(5 * 5 + -1x * 5) = 3x + 13
(25 + -5x) = 3x + 13

Reorder the terms:
25 + -5x = 13 + 3x

Solving
25 + -5x = 13 + 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.
25 + -5x + -3x = 13 + 3x + -3x

Combine like terms: -5x + -3x = -8x
25 + -8x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
25 + -8x = 13 + 0
25 + -8x = 13

Add '-25' to each side of the equation.
25 + -25 + -8x = 13 + -25

Combine like terms: 25 + -25 = 0
0 + -8x = 13 + -25
-8x = 13 + -25

Combine like terms: 13 + -25 = -12
-8x = -12

Divide each side by '-8'.
x = 1.5

Simplifying
x = 1.5

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