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

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


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

Reorder the terms:
3(-5 + x) + 5(4 + -1x) = 8
(-5 * 3 + x * 3) + 5(4 + -1x) = 8
(-15 + 3x) + 5(4 + -1x) = 8
-15 + 3x + (4 * 5 + -1x * 5) = 8
-15 + 3x + (20 + -5x) = 8

Reorder the terms:
-15 + 20 + 3x + -5x = 8

Combine like terms: -15 + 20 = 5
5 + 3x + -5x = 8

Combine like terms: 3x + -5x = -2x
5 + -2x = 8

Solving
5 + -2x = 8

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 8 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 8 + -5
-2x = 8 + -5

Combine like terms: 8 + -5 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

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