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

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


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

Reorder the terms:
6(3 + x) = 5(x + -2) + 3
(3 * 6 + x * 6) = 5(x + -2) + 3
(18 + 6x) = 5(x + -2) + 3

Reorder the terms:
18 + 6x = 5(-2 + x) + 3
18 + 6x = (-2 * 5 + x * 5) + 3
18 + 6x = (-10 + 5x) + 3

Reorder the terms:
18 + 6x = -10 + 3 + 5x

Combine like terms: -10 + 3 = -7
18 + 6x = -7 + 5x

Solving
18 + 6x = -7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
18 + 6x + -5x = -7 + 5x + -5x

Combine like terms: 6x + -5x = 1x
18 + 1x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + 1x = -7 + 0
18 + 1x = -7

Add '-18' to each side of the equation.
18 + -18 + 1x = -7 + -18

Combine like terms: 18 + -18 = 0
0 + 1x = -7 + -18
1x = -7 + -18

Combine like terms: -7 + -18 = -25
1x = -25

Divide each side by '1'.
x = -25

Simplifying
x = -25

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