0.5(2x+7)=-(x-1.5)+2(x+1)

Solution for 0.5(2x+7)=-(x-1.5)+2(x+1) equation:

Simplifying
0.5(2x + 7) = -1(x + -1.5) + 2(x + 1)

Reorder the terms:
0.5(7 + 2x) = -1(x + -1.5) + 2(x + 1)
(7 * 0.5 + 2x * 0.5) = -1(x + -1.5) + 2(x + 1)
(3.5 + 1x) = -1(x + -1.5) + 2(x + 1)

Reorder the terms:
3.5 + 1x = -1(-1.5 + x) + 2(x + 1)
3.5 + 1x = (-1.5 * -1 + x * -1) + 2(x + 1)
3.5 + 1x = (1.5 + -1x) + 2(x + 1)

Reorder the terms:
3.5 + 1x = 1.5 + -1x + 2(1 + x)
3.5 + 1x = 1.5 + -1x + (1 * 2 + x * 2)
3.5 + 1x = 1.5 + -1x + (2 + 2x)

Reorder the terms:
3.5 + 1x = 1.5 + 2 + -1x + 2x

Combine like terms: 1.5 + 2 = 3.5
3.5 + 1x = 3.5 + -1x + 2x

Combine like terms: -1x + 2x = 1x
3.5 + 1x = 3.5 + 1x

Add '-3.5' to each side of the equation.
3.5 + -3.5 + 1x = 3.5 + -3.5 + 1x

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 1x = 3.5 + -3.5 + 1x
1x = 3.5 + -3.5 + 1x

Combine like terms: 3.5 + -3.5 = 0.0
1x = 0.0 + 1x
1x = 1x

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.