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

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


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

Reorder the terms:
3(-6 + x) + 7 = 2(x + 7)
(-6 * 3 + x * 3) + 7 = 2(x + 7)
(-18 + 3x) + 7 = 2(x + 7)

Reorder the terms:
-18 + 7 + 3x = 2(x + 7)

Combine like terms: -18 + 7 = -11
-11 + 3x = 2(x + 7)

Reorder the terms:
-11 + 3x = 2(7 + x)
-11 + 3x = (7 * 2 + x * 2)
-11 + 3x = (14 + 2x)

Solving
-11 + 3x = 14 + 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.
-11 + 3x + -2x = 14 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-11 + 1x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-11 + 1x = 14 + 0
-11 + 1x = 14

Add '11' to each side of the equation.
-11 + 11 + 1x = 14 + 11

Combine like terms: -11 + 11 = 0
0 + 1x = 14 + 11
1x = 14 + 11

Combine like terms: 14 + 11 = 25
1x = 25

Divide each side by '1'.
x = 25

Simplifying
x = 25

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