Solve 2x-10/4=5+2-3x/6

$$\frac { 2 x - 10 } { 4 } = 5 + \frac { 2 - 3 x } { 6 }$$

Solve for x

$$x = \frac{47}{6} = 7\frac{5}{6} \approx 7.833333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,6.

$$3\left(2x-10\right)=60+2\left(2-3x\right)$$

Use the distributive property to multiply 3 by 2x-10.

$$6x-30=60+2\left(2-3x\right)$$

Use the distributive property to multiply 2 by 2-3x.

$$6x-30=60+4-6x$$

Add 60 and 4 to get 64.

$$6x-30=64-6x$$

Add 6x to both sides.

$$6x-30+6x=64$$

Combine 6x and 6x to get 12x.

$$12x-30=64$$

Add 30 to both sides.

$$12x=64+30$$

Add 64 and 30 to get 94.

$$12x=94$$

Divide both sides by 12.

$$x=\frac{94}{12}$$

Reduce the fraction \frac{94}{12} to lowest terms by extracting and canceling out 2.

$$x=\frac{47}{6}$$