3(x-2)=(x+3)+4

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Solution for 3(x-2)=(x+3)+4 equation:


Simplifying
3(x + -2) = (x + 3) + 4

Reorder the terms:
3(-2 + x) = (x + 3) + 4
(-2 * 3 + x * 3) = (x + 3) + 4
(-6 + 3x) = (x + 3) + 4

Reorder the terms:
-6 + 3x = (3 + x) + 4

Remove parenthesis around (3 + x)
-6 + 3x = 3 + x + 4

Reorder the terms:
-6 + 3x = 3 + 4 + x

Combine like terms: 3 + 4 = 7
-6 + 3x = 7 + x

Solving
-6 + 3x = 7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 3x + -1x = 7 + x + -1x

Combine like terms: 3x + -1x = 2x
-6 + 2x = 7 + x + -1x

Combine like terms: x + -1x = 0
-6 + 2x = 7 + 0
-6 + 2x = 7

Add '6' to each side of the equation.
-6 + 6 + 2x = 7 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 7 + 6
2x = 7 + 6

Combine like terms: 7 + 6 = 13
2x = 13

Divide each side by '2'.
x = 6.5

Simplifying
x = 6.5

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