4(5x-2)-2(-x+7)=209

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Solution for 4(5x-2)-2(-x+7)=209 equation:


Simplifying
4(5x + -2) + -2(-1x + 7) = 209

Reorder the terms:
4(-2 + 5x) + -2(-1x + 7) = 209
(-2 * 4 + 5x * 4) + -2(-1x + 7) = 209
(-8 + 20x) + -2(-1x + 7) = 209

Reorder the terms:
-8 + 20x + -2(7 + -1x) = 209
-8 + 20x + (7 * -2 + -1x * -2) = 209
-8 + 20x + (-14 + 2x) = 209

Reorder the terms:
-8 + -14 + 20x + 2x = 209

Combine like terms: -8 + -14 = -22
-22 + 20x + 2x = 209

Combine like terms: 20x + 2x = 22x
-22 + 22x = 209

Solving
-22 + 22x = 209

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 22x = 209 + 22

Combine like terms: -22 + 22 = 0
0 + 22x = 209 + 22
22x = 209 + 22

Combine like terms: 209 + 22 = 231
22x = 231

Divide each side by '22'.
x = 10.5

Simplifying
x = 10.5

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