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

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


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

Reorder the terms:
1 + 3(-2 + x) = 5x + 1
1 + (-2 * 3 + x * 3) = 5x + 1
1 + (-6 + 3x) = 5x + 1

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

Reorder the terms:
-5 + 3x = 1 + 5x

Solving
-5 + 3x = 1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-5 + 3x + -5x = 1 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-5 + -2x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + -2x = 1 + 0
-5 + -2x = 1

Add '5' to each side of the equation.
-5 + 5 + -2x = 1 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 1 + 5
-2x = 1 + 5

Combine like terms: 1 + 5 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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