2(x-7)-4(5-x)=2

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Solution for 2(x-7)-4(5-x)=2 equation: 


Simplifying
2(x + -7) + -4(5 + -1x) = 2

Reorder the terms:
2(-7 + x) + -4(5 + -1x) = 2
(-7 * 2 + x * 2) + -4(5 + -1x) = 2
(-14 + 2x) + -4(5 + -1x) = 2
-14 + 2x + (5 * -4 + -1x * -4) = 2
-14 + 2x + (-20 + 4x) = 2

Reorder the terms:
-14 + -20 + 2x + 4x = 2

Combine like terms: -14 + -20 = -34
-34 + 2x + 4x = 2

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

Solving
-34 + 6x = 2

Solving for variable 'x'.

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

Add '34' to each side of the equation.
-34 + 34 + 6x = 2 + 34

Combine like terms: -34 + 34 = 0
0 + 6x = 2 + 34
6x = 2 + 34

Combine like terms: 2 + 34 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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