2(3x-2)+2(-x+15)=34

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Solution for 2(3x-2)+2(-x+15)=34 equation:


Simplifying
2(3x + -2) + 2(-1x + 15) = 34

Reorder the terms:
2(-2 + 3x) + 2(-1x + 15) = 34
(-2 * 2 + 3x * 2) + 2(-1x + 15) = 34
(-4 + 6x) + 2(-1x + 15) = 34

Reorder the terms:
-4 + 6x + 2(15 + -1x) = 34
-4 + 6x + (15 * 2 + -1x * 2) = 34
-4 + 6x + (30 + -2x) = 34

Reorder the terms:
-4 + 30 + 6x + -2x = 34

Combine like terms: -4 + 30 = 26
26 + 6x + -2x = 34

Combine like terms: 6x + -2x = 4x
26 + 4x = 34

Solving
26 + 4x = 34

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + 4x = 34 + -26

Combine like terms: 26 + -26 = 0
0 + 4x = 34 + -26
4x = 34 + -26

Combine like terms: 34 + -26 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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