2(x+3)+3(x+2)=4x+17

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Solution for 2(x+3)+3(x+2)=4x+17 equation:


Simplifying
2(x + 3) + 3(x + 2) = 4x + 17

Reorder the terms:
2(3 + x) + 3(x + 2) = 4x + 17
(3 * 2 + x * 2) + 3(x + 2) = 4x + 17
(6 + 2x) + 3(x + 2) = 4x + 17

Reorder the terms:
6 + 2x + 3(2 + x) = 4x + 17
6 + 2x + (2 * 3 + x * 3) = 4x + 17
6 + 2x + (6 + 3x) = 4x + 17

Reorder the terms:
6 + 6 + 2x + 3x = 4x + 17

Combine like terms: 6 + 6 = 12
12 + 2x + 3x = 4x + 17

Combine like terms: 2x + 3x = 5x
12 + 5x = 4x + 17

Reorder the terms:
12 + 5x = 17 + 4x

Solving
12 + 5x = 17 + 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.
12 + 5x + -4x = 17 + 4x + -4x

Combine like terms: 5x + -4x = 1x
12 + 1x = 17 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 1x = 17 + 0
12 + 1x = 17

Add '-12' to each side of the equation.
12 + -12 + 1x = 17 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 17 + -12
1x = 17 + -12

Combine like terms: 17 + -12 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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