3(x+2)=4(x-3)+5

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Solution for 3(x+2)=4(x-3)+5 equation: 


Simplifying
3(x + 2) = 4(x + -3) + 5

Reorder the terms:
3(2 + x) = 4(x + -3) + 5
(2 * 3 + x * 3) = 4(x + -3) + 5
(6 + 3x) = 4(x + -3) + 5

Reorder the terms:
6 + 3x = 4(-3 + x) + 5
6 + 3x = (-3 * 4 + x * 4) + 5
6 + 3x = (-12 + 4x) + 5

Reorder the terms:
6 + 3x = -12 + 5 + 4x

Combine like terms: -12 + 5 = -7
6 + 3x = -7 + 4x

Solving
6 + 3x = -7 + 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 = -7 + 4x + -4x

Combine like terms: 3x + -4x = -1x
6 + -1x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -1x = -7 + 0
6 + -1x = -7

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

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

Combine like terms: -7 + -6 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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