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

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


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

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

Combine like terms: 3x + -1x = 2x
15 + 2x = 3(6) + 1

Multiply 3 * 6
15 + 2x = 18 + 1

Combine like terms: 18 + 1 = 19
15 + 2x = 19

Solving
15 + 2x = 19

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 2x = 19 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 19 + -15
2x = 19 + -15

Combine like terms: 19 + -15 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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