Solve 6x-1/2=5+4x/7

$$\frac { 6 x - 1 } { 2 } = \frac { 5 + 4 x } { 7 }$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 14, the least common multiple of 2,7.

$$7\left(6x-1\right)=2\left(5+4x\right)$$

Use the distributive property to multiply 7 by 6x-1.

$$42x-7=2\left(5+4x\right)$$

Use the distributive property to multiply 2 by 5+4x.

$$42x-7=10+8x$$

Subtract 8x from both sides.

$$42x-7-8x=10$$

Combine 42x and -8x to get 34x.

$$34x-7=10$$

Add 7 to both sides.

$$34x=10+7$$

Add 10 and 7 to get 17.

$$34x=17$$

Divide both sides by 34.

$$x=\frac{17}{34}$$

Reduce the fraction \frac{17}{34} to lowest terms by extracting and canceling out 17.

$$x=\frac{1}{2}$$