4x-3=-7x+8

Solution for 4x-3=-7x+8 equation:

Simplifying
4x + -3 = -7x + 8

Reorder the terms:
-3 + 4x = -7x + 8

Reorder the terms:
-3 + 4x = 8 + -7x

Solving
-3 + 4x = 8 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-3 + 4x + 7x = 8 + -7x + 7x

Combine like terms: 4x + 7x = 11x
-3 + 11x = 8 + -7x + 7x

Combine like terms: -7x + 7x = 0
-3 + 11x = 8 + 0
-3 + 11x = 8

Add '3' to each side of the equation.
-3 + 3 + 11x = 8 + 3

Combine like terms: -3 + 3 = 0
0 + 11x = 8 + 3
11x = 8 + 3

Combine like terms: 8 + 3 = 11
11x = 11

Divide each side by '11'.
x = 1

Simplifying
x = 1