3(x-40)-16=2(x-80)+5

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Solution for 3(x-40)-16=2(x-80)+5 equation:


Simplifying
3(x + -40) + -16 = 2(x + -80) + 5

Reorder the terms:
3(-40 + x) + -16 = 2(x + -80) + 5
(-40 * 3 + x * 3) + -16 = 2(x + -80) + 5
(-120 + 3x) + -16 = 2(x + -80) + 5

Reorder the terms:
-120 + -16 + 3x = 2(x + -80) + 5

Combine like terms: -120 + -16 = -136
-136 + 3x = 2(x + -80) + 5

Reorder the terms:
-136 + 3x = 2(-80 + x) + 5
-136 + 3x = (-80 * 2 + x * 2) + 5
-136 + 3x = (-160 + 2x) + 5

Reorder the terms:
-136 + 3x = -160 + 5 + 2x

Combine like terms: -160 + 5 = -155
-136 + 3x = -155 + 2x

Solving
-136 + 3x = -155 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-136 + 3x + -2x = -155 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-136 + 1x = -155 + 2x + -2x

Combine like terms: 2x + -2x = 0
-136 + 1x = -155 + 0
-136 + 1x = -155

Add '136' to each side of the equation.
-136 + 136 + 1x = -155 + 136

Combine like terms: -136 + 136 = 0
0 + 1x = -155 + 136
1x = -155 + 136

Combine like terms: -155 + 136 = -19
1x = -19

Divide each side by '1'.
x = -19

Simplifying
x = -19

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