3(x+3)-7=4(x-2)+5

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Solution for 3(x+3)-7=4(x-2)+5 equation: 


Simplifying
3(x + 3) + -7 = 4(x + -2) + 5

Reorder the terms:
3(3 + x) + -7 = 4(x + -2) + 5
(3 * 3 + x * 3) + -7 = 4(x + -2) + 5
(9 + 3x) + -7 = 4(x + -2) + 5

Reorder the terms:
9 + -7 + 3x = 4(x + -2) + 5

Combine like terms: 9 + -7 = 2
2 + 3x = 4(x + -2) + 5

Reorder the terms:
2 + 3x = 4(-2 + x) + 5
2 + 3x = (-2 * 4 + x * 4) + 5
2 + 3x = (-8 + 4x) + 5

Reorder the terms:
2 + 3x = -8 + 5 + 4x

Combine like terms: -8 + 5 = -3
2 + 3x = -3 + 4x

Solving
2 + 3x = -3 + 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.
2 + 3x + -4x = -3 + 4x + -4x

Combine like terms: 3x + -4x = -1x
2 + -1x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -1x = -3 + 0
2 + -1x = -3

Add '-2' to each side of the equation.
2 + -2 + -1x = -3 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -3 + -2
-1x = -3 + -2

Combine like terms: -3 + -2 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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