(3x-5)+(4x-7)+8=180

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Solution for (3x-5)+(4x-7)+8=180 equation:


Simplifying
(3x + -5) + (4x + -7) + 8 = 180

Reorder the terms:
(-5 + 3x) + (4x + -7) + 8 = 180

Remove parenthesis around (-5 + 3x)
-5 + 3x + (4x + -7) + 8 = 180

Reorder the terms:
-5 + 3x + (-7 + 4x) + 8 = 180

Remove parenthesis around (-7 + 4x)
-5 + 3x + -7 + 4x + 8 = 180

Reorder the terms:
-5 + -7 + 8 + 3x + 4x = 180

Combine like terms: -5 + -7 = -12
-12 + 8 + 3x + 4x = 180

Combine like terms: -12 + 8 = -4
-4 + 3x + 4x = 180

Combine like terms: 3x + 4x = 7x
-4 + 7x = 180

Solving
-4 + 7x = 180

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 7x = 180 + 4

Combine like terms: -4 + 4 = 0
0 + 7x = 180 + 4
7x = 180 + 4

Combine like terms: 180 + 4 = 184
7x = 184

Divide each side by '7'.
x = 26.28571429

Simplifying
x = 26.28571429

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