3(x-5)-7=2x+6

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Solution for 3(x-5)-7=2x+6 equation:


Simplifying
3(x + -5) + -7 = 2x + 6

Reorder the terms:
3(-5 + x) + -7 = 2x + 6
(-5 * 3 + x * 3) + -7 = 2x + 6
(-15 + 3x) + -7 = 2x + 6

Reorder the terms:
-15 + -7 + 3x = 2x + 6

Combine like terms: -15 + -7 = -22
-22 + 3x = 2x + 6

Reorder the terms:
-22 + 3x = 6 + 2x

Solving
-22 + 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.
-22 + 3x + -2x = 6 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-22 + 1x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-22 + 1x = 6 + 0
-22 + 1x = 6

Add '22' to each side of the equation.
-22 + 22 + 1x = 6 + 22

Combine like terms: -22 + 22 = 0
0 + 1x = 6 + 22
1x = 6 + 22

Combine like terms: 6 + 22 = 28
1x = 28

Divide each side by '1'.
x = 28

Simplifying
x = 28

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