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

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


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

Reorder the terms:
1 + 3(-2 + 5x) = 5(x + 1)
1 + (-2 * 3 + 5x * 3) = 5(x + 1)
1 + (-6 + 15x) = 5(x + 1)

Combine like terms: 1 + -6 = -5
-5 + 15x = 5(x + 1)

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

Solving
-5 + 15x = 5 + 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 + 15x + -5x = 5 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-5 + 10x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + 10x = 5 + 0
-5 + 10x = 5

Add '5' to each side of the equation.
-5 + 5 + 10x = 5 + 5

Combine like terms: -5 + 5 = 0
0 + 10x = 5 + 5
10x = 5 + 5

Combine like terms: 5 + 5 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1

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