3(x-5)=2x+1

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Solution for 3(x-5)=2x+1 equation:


Simplifying
3(x + -5) = 2x + 1

Reorder the terms:
3(-5 + x) = 2x + 1
(-5 * 3 + x * 3) = 2x + 1
(-15 + 3x) = 2x + 1

Reorder the terms:
-15 + 3x = 1 + 2x

Solving
-15 + 3x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-15 + 3x + -2x = 1 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-15 + 1x = 1 + 0
-15 + 1x = 1

Add '15' to each side of the equation.
-15 + 15 + 1x = 1 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = 1 + 15
1x = 1 + 15

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

Divide each side by '1'.
x = 16

Simplifying
x = 16

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