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

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


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

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

Reorder the terms:
-15 + 3x = 6 + 2(-7 + x)
-15 + 3x = 6 + (-7 * 2 + x * 2)
-15 + 3x = 6 + (-14 + 2x)

Combine like terms: 6 + -14 = -8
-15 + 3x = -8 + 2x

Solving
-15 + 3x = -8 + 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.
-15 + 3x + -2x = -8 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-15 + 1x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 1x = -8 + 0
-15 + 1x = -8

Add '15' to each side of the equation.
-15 + 15 + 1x = -8 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = -8 + 15
1x = -8 + 15

Combine like terms: -8 + 15 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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