3(x-5)-1=2x+6

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Solution for 3(x-5)-1=2x+6 equation:


Simplifying
3(x + -5) + -1 = 2x + 6

Reorder the terms:
3(-5 + x) + -1 = 2x + 6
(-5 * 3 + x * 3) + -1 = 2x + 6
(-15 + 3x) + -1 = 2x + 6

Reorder the terms:
-15 + -1 + 3x = 2x + 6

Combine like terms: -15 + -1 = -16
-16 + 3x = 2x + 6

Reorder the terms:
-16 + 3x = 6 + 2x

Solving
-16 + 3x = 6 + 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.
-16 + 3x + -2x = 6 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-16 + 1x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-16 + 1x = 6 + 0
-16 + 1x = 6

Add '16' to each side of the equation.
-16 + 16 + 1x = 6 + 16

Combine like terms: -16 + 16 = 0
0 + 1x = 6 + 16
1x = 6 + 16

Combine like terms: 6 + 16 = 22
1x = 22

Divide each side by '1'.
x = 22

Simplifying
x = 22

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