Solve x-4/5+x-2/6=34x-34/30+1

$$x - \frac { 4 } { 5 } + \frac { x - 2 } { 6 } = \frac { 34 x - 34 } { 30 } + 1$$

Solve for x

$$x=30$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 5,6,30.

$$30x-24+5\left(x-2\right)=34x-34+30$$

Use the distributive property to multiply 5 by x-2.

$$30x-24+5x-10=34x-34+30$$

Combine 30x and 5x to get 35x.

$$35x-24-10=34x-34+30$$

Subtract 10 from -24 to get -34.

$$35x-34=34x-34+30$$

Add -34 and 30 to get -4.

$$35x-34=34x-4$$

Subtract 34x from both sides.

$$35x-34-34x=-4$$

Combine 35x and -34x to get x.

$$x-34=-4$$

Add 34 to both sides.

$$x=-4+34$$

Add -4 and 34 to get 30.

$$x=30$$