2(x-3)+5=3(x+1)+2

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Solution for 2(x-3)+5=3(x+1)+2 equation:


Simplifying
2(x + -3) + 5 = 3(x + 1) + 2

Reorder the terms:
2(-3 + x) + 5 = 3(x + 1) + 2
(-3 * 2 + x * 2) + 5 = 3(x + 1) + 2
(-6 + 2x) + 5 = 3(x + 1) + 2

Reorder the terms:
-6 + 5 + 2x = 3(x + 1) + 2

Combine like terms: -6 + 5 = -1
-1 + 2x = 3(x + 1) + 2

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

Reorder the terms:
-1 + 2x = 3 + 2 + 3x

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

Solving
-1 + 2x = 5 + 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.
-1 + 2x + -3x = 5 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-1 + -1x = 5 + 0
-1 + -1x = 5

Add '1' to each side of the equation.
-1 + 1 + -1x = 5 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = 5 + 1
-1x = 5 + 1

Combine like terms: 5 + 1 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

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