(4x-3)+(10x+5)+(38)=180

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Solution for (4x-3)+(10x+5)+(38)=180 equation:


Simplifying
(4x + -3) + (10x + 5) + (38) = 180

Reorder the terms:
(-3 + 4x) + (10x + 5) + (38) = 180

Remove parenthesis around (-3 + 4x)
-3 + 4x + (10x + 5) + (38) = 180

Reorder the terms:
-3 + 4x + (5 + 10x) + (38) = 180

Remove parenthesis around (5 + 10x)
-3 + 4x + 5 + 10x + (38) = 180
-3 + 4x + 5 + 10x + 38 = 180

Reorder the terms:
-3 + 5 + 38 + 4x + 10x = 180

Combine like terms: -3 + 5 = 2
2 + 38 + 4x + 10x = 180

Combine like terms: 2 + 38 = 40
40 + 4x + 10x = 180

Combine like terms: 4x + 10x = 14x
40 + 14x = 180

Solving
40 + 14x = 180

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 14x = 180 + -40

Combine like terms: 40 + -40 = 0
0 + 14x = 180 + -40
14x = 180 + -40

Combine like terms: 180 + -40 = 140
14x = 140

Divide each side by '14'.
x = 10

Simplifying
x = 10

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