Question

Solve 1\2-5\8x=7\8x+7\2
(show work)

Answer 1

Simplify −58x-⁢58⁢x.Tap for more steps...12−x⋅58=78x+7212-⁢x⋅58=78⁢x+72Move 55 to the left of the expression x⋅5x⋅5.12−5⋅x8=78x+7212-⁢5⋅x8=78⁢x+72Multiply 55 by xx to get 5x5⁢x.12−5x8=78x+7212-⁢5⁢x8=78⁢x+72Simplify 78x78⁢x.Tap for less steps...Write xx as a fraction with denominator 11.12−5x8=78⋅x1+7212-⁢5⁢x8=78⋅x1+72Multiply 7878 and x1x1 to get 7x87⁢x8.12−5x8=7x8+7212-⁢5⁢x8=7⁢x8+72Move all terms containing xx to the left side of the equation.Tap for more steps...12−3x2=7212-⁢3⁢x2=72Move all terms not containing xx to the right side of the equation.Tap for more steps...−3x2=3-⁢3⁢x2=3Multiply both sides of the equation by 22.−3x=3⋅(2)-3⁢x=3⋅2Simplify the right side.Tap for more steps...−3x=6-3⁢x=6Divide each term by −3-3 and simplify.Tap for more steps...x=−2