Question

solve the equations
5/2 x-3=3x-1​

Answer 1

Answer:

Simplifying

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

Reorder the terms:

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

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

(-15 + 10x) = 3x + -1

Reorder the terms:

-15 + 10x = -1 + 3x

Solving

-15 + 10x = -1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.

-15 + 10x + -3x = -1 + 3x + -3x

Combine like terms: 10x + -3x = 7x

-15 + 7x = -1 + 3x + -3x

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

-15 + 7x = -1 + 0

-15 + 7x = -1

Add '15' to each side of the equation.

-15 + 15 + 7x = -1 + 15

Combine like terms: -15 + 15 = 0

0 + 7x = -1 + 15

7x = -1 + 15

Combine like terms: -1 + 15 = 14

7x = 14

Divide each side by '7'.

x = 2

Simplifying

x = 2