3(x+3)+10=2(x+4)+9

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Solution for 3(x+3)+10=2(x+4)+9 equation:


Simplifying
3(x + 3) + 10 = 2(x + 4) + 9

Reorder the terms:
3(3 + x) + 10 = 2(x + 4) + 9
(3 * 3 + x * 3) + 10 = 2(x + 4) + 9
(9 + 3x) + 10 = 2(x + 4) + 9

Reorder the terms:
9 + 10 + 3x = 2(x + 4) + 9

Combine like terms: 9 + 10 = 19
19 + 3x = 2(x + 4) + 9

Reorder the terms:
19 + 3x = 2(4 + x) + 9
19 + 3x = (4 * 2 + x * 2) + 9
19 + 3x = (8 + 2x) + 9

Reorder the terms:
19 + 3x = 8 + 9 + 2x

Combine like terms: 8 + 9 = 17
19 + 3x = 17 + 2x

Solving
19 + 3x = 17 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
19 + 3x + -2x = 17 + 2x + -2x

Combine like terms: 3x + -2x = 1x
19 + 1x = 17 + 2x + -2x

Combine like terms: 2x + -2x = 0
19 + 1x = 17 + 0
19 + 1x = 17

Add '-19' to each side of the equation.
19 + -19 + 1x = 17 + -19

Combine like terms: 19 + -19 = 0
0 + 1x = 17 + -19
1x = 17 + -19

Combine like terms: 17 + -19 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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