Question

Solve for
2.5x-1.5=0.5X-1.75​

Answer 1

Answer:

Simplifying

2.5 = -0.5(x + -1.5)

Reorder the terms:

2.5 = -0.5(-1.5 + x)

2.5 = (-1.5 * -0.5 + x * -0.5)

2.5 = (0.75 + -0.5x)

Solving

2.5 = 0.75 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.

2.5 + 0.5x = 0.75 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0

2.5 + 0.5x = 0.75 + 0.0

2.5 + 0.5x = 0.75

Add '-2.5' to each side of the equation.

2.5 + -2.5 + 0.5x = 0.75 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0

0.0 + 0.5x = 0.75 + -2.5

0.5x = 0.75 + -2.5

Combine like terms: 0.75 + -2.5 = -1.75

0.5x = -1.75

Divide each side by '0.5'.

x = -3.5

Simplifying

x = -3.5

Answer 2

Explanation:

Simplifying

2.5 = -0.5(x + -1.5)

Reorder the terms:

2.5 = -0.5(-1.5 + x)

2.5 = (-1.5 * -0.5 + x * -0.5)

2.5 = (0.75 + -0.5x)

Solving

2.5 = 0.75 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.

2.5 + 0.5x = 0.75 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0

2.5 + 0.5x = 0.75 + 0.0

2.5 + 0.5x = 0.75

Add '-2.5' to each side of the equation.

2.5 + -2.5 + 0.5x = 0.75 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0

0.0 + 0.5x = 0.75 + -2.5

0.5x = 0.75 + -2.5

Combine like terms: 0.75 + -2.5 = -1.75

0.5x = -1.75

Divide each side by '0.5'.

x = -3.5

Simplifying

x = -3.5