(x+2)*3=(13-x)*4+3

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Solution for (x+2)*3=(13-x)*4+3 equation:


Simplifying
(x + 2) * 3 = (13 + -1x) * 4 + 3

Reorder the terms:
(2 + x) * 3 = (13 + -1x) * 4 + 3

Reorder the terms for easier multiplication:
3(2 + x) = (13 + -1x) * 4 + 3
(2 * 3 + x * 3) = (13 + -1x) * 4 + 3
(6 + 3x) = (13 + -1x) * 4 + 3

Reorder the terms for easier multiplication:
6 + 3x = 4(13 + -1x) + 3
6 + 3x = (13 * 4 + -1x * 4) + 3
6 + 3x = (52 + -4x) + 3

Reorder the terms:
6 + 3x = 52 + 3 + -4x

Combine like terms: 52 + 3 = 55
6 + 3x = 55 + -4x

Solving
6 + 3x = 55 + -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.
6 + 3x + 4x = 55 + -4x + 4x

Combine like terms: 3x + 4x = 7x
6 + 7x = 55 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 7x = 55 + 0
6 + 7x = 55

Add '-6' to each side of the equation.
6 + -6 + 7x = 55 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 55 + -6
7x = 55 + -6

Combine like terms: 55 + -6 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7

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