5(x+3)+14=6(x+2)+15

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Solution for 5(x+3)+14=6(x+2)+15 equation:


Simplifying
5(x + 3) + 14 = 6(x + 2) + 15

Reorder the terms:
5(3 + x) + 14 = 6(x + 2) + 15
(3 * 5 + x * 5) + 14 = 6(x + 2) + 15
(15 + 5x) + 14 = 6(x + 2) + 15

Reorder the terms:
15 + 14 + 5x = 6(x + 2) + 15

Combine like terms: 15 + 14 = 29
29 + 5x = 6(x + 2) + 15

Reorder the terms:
29 + 5x = 6(2 + x) + 15
29 + 5x = (2 * 6 + x * 6) + 15
29 + 5x = (12 + 6x) + 15

Reorder the terms:
29 + 5x = 12 + 15 + 6x

Combine like terms: 12 + 15 = 27
29 + 5x = 27 + 6x

Solving
29 + 5x = 27 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
29 + 5x + -6x = 27 + 6x + -6x

Combine like terms: 5x + -6x = -1x
29 + -1x = 27 + 6x + -6x

Combine like terms: 6x + -6x = 0
29 + -1x = 27 + 0
29 + -1x = 27

Add '-29' to each side of the equation.
29 + -29 + -1x = 27 + -29

Combine like terms: 29 + -29 = 0
0 + -1x = 27 + -29
-1x = 27 + -29

Combine like terms: 27 + -29 = -2
-1x = -2

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

Simplifying
x = 2

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