Solve 3(5x-6)/4=x-7(1-2x)/6

$$\frac { 3 ( 5 x - 6 ) } { 4 } = x - \frac { 7 ( 1 - 2 x ) } { 6 }$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

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

$$3\times 3\left(5x-6\right)=12x-2\times 7\left(1-2x\right)$$

Multiply 3 and 3 to get 9.

$$9\left(5x-6\right)=12x-2\times 7\left(1-2x\right)$$

Use the distributive property to multiply 9 by 5x-6.

$$45x-54=12x-2\times 7\left(1-2x\right)$$

Multiply -2 and 7 to get -14.

$$45x-54=12x-14\left(1-2x\right)$$

Use the distributive property to multiply -14 by 1-2x.

$$45x-54=12x-14+28x$$

Combine 12x and 28x to get 40x.

$$45x-54=40x-14$$

Subtract 40x from both sides.

$$45x-54-40x=-14$$

Combine 45x and -40x to get 5x.

$$5x-54=-14$$

Add 54 to both sides.

$$5x=-14+54$$

Add -14 and 54 to get 40.

$$5x=40$$

Divide both sides by 5.

$$x=\frac{40}{5}$$

Divide 40 by 5 to get 8.

$$x=8$$