5(x-3)=34-2x

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Solution for 5(x-3)=34-2x equation:


Simplifying
5(x + -3) = 34 + -2x

Reorder the terms:
5(-3 + x) = 34 + -2x
(-3 * 5 + x * 5) = 34 + -2x
(-15 + 5x) = 34 + -2x

Solving
-15 + 5x = 34 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-15 + 5x + 2x = 34 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-15 + 7x = 34 + -2x + 2x

Combine like terms: -2x + 2x = 0
-15 + 7x = 34 + 0
-15 + 7x = 34

Add '15' to each side of the equation.
-15 + 15 + 7x = 34 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = 34 + 15
7x = 34 + 15

Combine like terms: 34 + 15 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7

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