5(x+3)+1=6x+12

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Solution for 5(x+3)+1=6x+12 equation:


Simplifying
5(x + 3) + 1 = 6x + 12

Reorder the terms:
5(3 + x) + 1 = 6x + 12
(3 * 5 + x * 5) + 1 = 6x + 12
(15 + 5x) + 1 = 6x + 12

Reorder the terms:
15 + 1 + 5x = 6x + 12

Combine like terms: 15 + 1 = 16
16 + 5x = 6x + 12

Reorder the terms:
16 + 5x = 12 + 6x

Solving
16 + 5x = 12 + 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.
16 + 5x + -6x = 12 + 6x + -6x

Combine like terms: 5x + -6x = -1x
16 + -1x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + -1x = 12 + 0
16 + -1x = 12

Add '-16' to each side of the equation.
16 + -16 + -1x = 12 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 12 + -16
-1x = 12 + -16

Combine like terms: 12 + -16 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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