5(3-x)-(5-8x)=34

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Solution for 5(3-x)-(5-8x)=34 equation: 


Simplifying
5(3 + -1x) + -1(5 + -8x) = 34
(3 * 5 + -1x * 5) + -1(5 + -8x) = 34
(15 + -5x) + -1(5 + -8x) = 34
15 + -5x + (5 * -1 + -8x * -1) = 34
15 + -5x + (-5 + 8x) = 34

Reorder the terms:
15 + -5 + -5x + 8x = 34

Combine like terms: 15 + -5 = 10
10 + -5x + 8x = 34

Combine like terms: -5x + 8x = 3x
10 + 3x = 34

Solving
10 + 3x = 34

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 3x = 34 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 34 + -10
3x = 34 + -10

Combine like terms: 34 + -10 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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