3(x+3)+7=6x+1

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Solution for 3(x+3)+7=6x+1 equation:


Simplifying
3(x + 3) + 7 = 6x + 1

Reorder the terms:
3(3 + x) + 7 = 6x + 1
(3 * 3 + x * 3) + 7 = 6x + 1
(9 + 3x) + 7 = 6x + 1

Reorder the terms:
9 + 7 + 3x = 6x + 1

Combine like terms: 9 + 7 = 16
16 + 3x = 6x + 1

Reorder the terms:
16 + 3x = 1 + 6x

Solving
16 + 3x = 1 + 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 + 3x + -6x = 1 + 6x + -6x

Combine like terms: 3x + -6x = -3x
16 + -3x = 1 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + -3x = 1 + 0
16 + -3x = 1

Add '-16' to each side of the equation.
16 + -16 + -3x = 1 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = 1 + -16
-3x = 1 + -16

Combine like terms: 1 + -16 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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