(4x-101)+(2x+3)=180

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Solution for (4x-101)+(2x+3)=180 equation:


Simplifying
(4x + -101) + (2x + 3) = 180

Reorder the terms:
(-101 + 4x) + (2x + 3) = 180

Remove parenthesis around (-101 + 4x)
-101 + 4x + (2x + 3) = 180

Reorder the terms:
-101 + 4x + (3 + 2x) = 180

Remove parenthesis around (3 + 2x)
-101 + 4x + 3 + 2x = 180

Reorder the terms:
-101 + 3 + 4x + 2x = 180

Combine like terms: -101 + 3 = -98
-98 + 4x + 2x = 180

Combine like terms: 4x + 2x = 6x
-98 + 6x = 180

Solving
-98 + 6x = 180

Solving for variable 'x'.

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

Add '98' to each side of the equation.
-98 + 98 + 6x = 180 + 98

Combine like terms: -98 + 98 = 0
0 + 6x = 180 + 98
6x = 180 + 98

Combine like terms: 180 + 98 = 278
6x = 278

Divide each side by '6'.
x = 46.33333333

Simplifying
x = 46.33333333

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