Solve 6x-(4-7x)=5(x+6)

$$6 x - ( 4 - 7 x ) = 5 ( x + 6 )$$

Solve for x

$$x = \frac{17}{4} = 4\frac{1}{4} = 4.25$$

Steps for Solving Linear Equation

To find the opposite of 4-7x, find the opposite of each term.

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

The opposite of -7x is 7x.

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

Combine 6x and 7x to get 13x.

$$13x-4=5\left(x+6\right)$$

Use the distributive property to multiply 5 by x+6.

$$13x-4=5x+30$$

Subtract 5x from both sides.

$$13x-4-5x=30$$

Combine 13x and -5x to get 8x.

$$8x-4=30$$

Add 4 to both sides.

$$8x=30+4$$

Add 30 and 4 to get 34.

$$8x=34$$

Divide both sides by 8.

$$x=\frac{34}{8}$$

Reduce the fraction \frac{34}{8} to lowest terms by extracting and canceling out 2.

$$x=\frac{17}{4}$$