2(5x-7)-8+3(5-x)+2=180

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Solution for 2(5x-7)-8+3(5-x)+2=180 equation: 


Simplifying
2(5x + -7) + -8 + 3(5 + -1x) + 2 = 180

Reorder the terms:
2(-7 + 5x) + -8 + 3(5 + -1x) + 2 = 180
(-7 * 2 + 5x * 2) + -8 + 3(5 + -1x) + 2 = 180
(-14 + 10x) + -8 + 3(5 + -1x) + 2 = 180
-14 + 10x + -8 + (5 * 3 + -1x * 3) + 2 = 180
-14 + 10x + -8 + (15 + -3x) + 2 = 180

Reorder the terms:
-14 + -8 + 15 + 2 + 10x + -3x = 180

Combine like terms: -14 + -8 = -22
-22 + 15 + 2 + 10x + -3x = 180

Combine like terms: -22 + 15 = -7
-7 + 2 + 10x + -3x = 180

Combine like terms: -7 + 2 = -5
-5 + 10x + -3x = 180

Combine like terms: 10x + -3x = 7x
-5 + 7x = 180

Solving
-5 + 7x = 180

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 7x = 180 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 180 + 5
7x = 180 + 5

Combine like terms: 180 + 5 = 185
7x = 185

Divide each side by '7'.
x = 26.42857143

Simplifying
x = 26.42857143

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