5(x-5)=4(8-x)+3+x

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Solution for 5(x-5)=4(8-x)+3+x equation:


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

Reorder the terms:
5(-5 + x) = 4(8 + -1x) + 3 + x
(-5 * 5 + x * 5) = 4(8 + -1x) + 3 + x
(-25 + 5x) = 4(8 + -1x) + 3 + x
-25 + 5x = (8 * 4 + -1x * 4) + 3 + x
-25 + 5x = (32 + -4x) + 3 + x

Reorder the terms:
-25 + 5x = 32 + 3 + -4x + x

Combine like terms: 32 + 3 = 35
-25 + 5x = 35 + -4x + x

Combine like terms: -4x + x = -3x
-25 + 5x = 35 + -3x

Solving
-25 + 5x = 35 + -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 = 35 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-25 + 8x = 35 + -3x + 3x

Combine like terms: -3x + 3x = 0
-25 + 8x = 35 + 0
-25 + 8x = 35

Add '25' to each side of the equation.
-25 + 25 + 8x = 35 + 25

Combine like terms: -25 + 25 = 0
0 + 8x = 35 + 25
8x = 35 + 25

Combine like terms: 35 + 25 = 60
8x = 60

Divide each side by '8'.
x = 7.5

Simplifying
x = 7.5

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