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

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


Simplifying
180 + -1(3x + -5) = 180 + -1(4x + 10)

Reorder the terms:
180 + -1(-5 + 3x) = 180 + -1(4x + 10)
180 + (-5 * -1 + 3x * -1) = 180 + -1(4x + 10)
180 + (5 + -3x) = 180 + -1(4x + 10)

Combine like terms: 180 + 5 = 185
185 + -3x = 180 + -1(4x + 10)

Reorder the terms:
185 + -3x = 180 + -1(10 + 4x)
185 + -3x = 180 + (10 * -1 + 4x * -1)
185 + -3x = 180 + (-10 + -4x)

Combine like terms: 180 + -10 = 170
185 + -3x = 170 + -4x

Solving
185 + -3x = 170 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
185 + -3x + 4x = 170 + -4x + 4x

Combine like terms: -3x + 4x = 1x
185 + 1x = 170 + -4x + 4x

Combine like terms: -4x + 4x = 0
185 + 1x = 170 + 0
185 + 1x = 170

Add '-185' to each side of the equation.
185 + -185 + 1x = 170 + -185

Combine like terms: 185 + -185 = 0
0 + 1x = 170 + -185
1x = 170 + -185

Combine like terms: 170 + -185 = -15
1x = -15

Divide each side by '1'.
x = -15

Simplifying
x = -15

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