5(x+2)=6x+3

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


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

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

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

Solving
10 + 5x = 3 + 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.
10 + 5x + -6x = 3 + 6x + -6x

Combine like terms: 5x + -6x = -1x
10 + -1x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -1x = 3 + 0
10 + -1x = 3

Add '-10' to each side of the equation.
10 + -10 + -1x = 3 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 3 + -10
-1x = 3 + -10

Combine like terms: 3 + -10 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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