2(x+3)+4=3(x-1)+6

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Solution for 2(x+3)+4=3(x-1)+6 equation: 


Simplifying
2(x + 3) + 4 = 3(x + -1) + 6

Reorder the terms:
2(3 + x) + 4 = 3(x + -1) + 6
(3 * 2 + x * 2) + 4 = 3(x + -1) + 6
(6 + 2x) + 4 = 3(x + -1) + 6

Reorder the terms:
6 + 4 + 2x = 3(x + -1) + 6

Combine like terms: 6 + 4 = 10
10 + 2x = 3(x + -1) + 6

Reorder the terms:
10 + 2x = 3(-1 + x) + 6
10 + 2x = (-1 * 3 + x * 3) + 6
10 + 2x = (-3 + 3x) + 6

Reorder the terms:
10 + 2x = -3 + 6 + 3x

Combine like terms: -3 + 6 = 3
10 + 2x = 3 + 3x

Solving
10 + 2x = 3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 2x + -3x = 3 + 3x + -3x

Combine like terms: 2x + -3x = -1x
10 + -1x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -1x = 3 + 0
10 + -1x = 3

Add '-10' to each side of the equation.
10 + -10 + -1x = 3 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 3 + -10
-1x = 3 + -10

Combine like terms: 3 + -10 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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