Solve x+7/10=4/5+x-1/8

$$\frac { x + 7 } { 10 } = \frac { 4 } { 5 } + \frac { x - 1 } { 8 }$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 40, the least common multiple of 10,5,8.

$$4\left(x+7\right)=32+5\left(x-1\right)$$

Use the distributive property to multiply 4 by x+7.

$$4x+28=32+5\left(x-1\right)$$

Use the distributive property to multiply 5 by x-1.

$$4x+28=32+5x-5$$

Subtract 5 from 32 to get 27.

$$4x+28=27+5x$$

Subtract 5x from both sides.

$$4x+28-5x=27$$

Combine 4x and -5x to get -x.

$$-x+28=27$$

Subtract 28 from both sides.

$$-x=27-28$$

Subtract 28 from 27 to get -1.

$$-x=-1$$

Multiply both sides by -1.

$$x=1$$