3(x+3)+6=4(x+2)+7

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Solution for 3(x+3)+6=4(x+2)+7 equation: 


Simplifying
3(x + 3) + 6 = 4(x + 2) + 7

Reorder the terms:
3(3 + x) + 6 = 4(x + 2) + 7
(3 * 3 + x * 3) + 6 = 4(x + 2) + 7
(9 + 3x) + 6 = 4(x + 2) + 7

Reorder the terms:
9 + 6 + 3x = 4(x + 2) + 7

Combine like terms: 9 + 6 = 15
15 + 3x = 4(x + 2) + 7

Reorder the terms:
15 + 3x = 4(2 + x) + 7
15 + 3x = (2 * 4 + x * 4) + 7
15 + 3x = (8 + 4x) + 7

Reorder the terms:
15 + 3x = 8 + 7 + 4x

Combine like terms: 8 + 7 = 15
15 + 3x = 15 + 4x

Add '-15' to each side of the equation.
15 + -15 + 3x = 15 + -15 + 4x

Combine like terms: 15 + -15 = 0
0 + 3x = 15 + -15 + 4x
3x = 15 + -15 + 4x

Combine like terms: 15 + -15 = 0
3x = 0 + 4x
3x = 4x

Solving
3x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3x + -4x = 4x + -4x

Combine like terms: 3x + -4x = -1x
-1x = 4x + -4x

Combine like terms: 4x + -4x = 0
-1x = 0

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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