Solve x+3/4=1+3x-10/5

$$\frac { x + 3 } { 4 } = 1 + \frac { 3 x - 10 } { 5 }$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 4,5.

$$5\left(x+3\right)=20+4\left(3x-10\right)$$

Use the distributive property to multiply 5 by x+3.

$$5x+15=20+4\left(3x-10\right)$$

Use the distributive property to multiply 4 by 3x-10.

$$5x+15=20+12x-40$$

Subtract 40 from 20 to get -20.

$$5x+15=-20+12x$$

Subtract 12x from both sides.

$$5x+15-12x=-20$$

Combine 5x and -12x to get -7x.

$$-7x+15=-20$$

Subtract 15 from both sides.

$$-7x=-20-15$$

Subtract 15 from -20 to get -35.

$$-7x=-35$$

Divide both sides by -7.

$$x=\frac{-35}{-7}$$

Divide -35 by -7 to get 5.

$$x=5$$