(10x+5)-(6x+1)=180

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Solution for (10x+5)-(6x+1)=180 equation:


Simplifying
(10x + 5) + -1(6x + 1) = 180

Reorder the terms:
(5 + 10x) + -1(6x + 1) = 180

Remove parenthesis around (5 + 10x)
5 + 10x + -1(6x + 1) = 180

Reorder the terms:
5 + 10x + -1(1 + 6x) = 180
5 + 10x + (1 * -1 + 6x * -1) = 180
5 + 10x + (-1 + -6x) = 180

Reorder the terms:
5 + -1 + 10x + -6x = 180

Combine like terms: 5 + -1 = 4
4 + 10x + -6x = 180

Combine like terms: 10x + -6x = 4x
4 + 4x = 180

Solving
4 + 4x = 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 + 4x = 180 + -4

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

Combine like terms: 180 + -4 = 176
4x = 176

Divide each side by '4'.
x = 44

Simplifying
x = 44

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