(3x-8)+(4x-21)=180

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Solution for (3x-8)+(4x-21)=180 equation:


Simplifying
(3x + -8) + (4x + -21) = 180

Reorder the terms:
(-8 + 3x) + (4x + -21) = 180

Remove parenthesis around (-8 + 3x)
-8 + 3x + (4x + -21) = 180

Reorder the terms:
-8 + 3x + (-21 + 4x) = 180

Remove parenthesis around (-21 + 4x)
-8 + 3x + -21 + 4x = 180

Reorder the terms:
-8 + -21 + 3x + 4x = 180

Combine like terms: -8 + -21 = -29
-29 + 3x + 4x = 180

Combine like terms: 3x + 4x = 7x
-29 + 7x = 180

Solving
-29 + 7x = 180

Solving for variable 'x'.

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

Add '29' to each side of the equation.
-29 + 29 + 7x = 180 + 29

Combine like terms: -29 + 29 = 0
0 + 7x = 180 + 29
7x = 180 + 29

Combine like terms: 180 + 29 = 209
7x = 209

Divide each side by '7'.
x = 29.85714286

Simplifying
x = 29.85714286

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