Solve 32-(4+6x-5(x+4))=4(3*+4)-(6(3x-4)+7-4x)

$$32-(4+6x-5(x+4))=4(3 \times +4)-(6(3x-4)+7-4x)$$

Solve for x

$$x = \frac{17}{13} = 1\frac{4}{13} \approx 1.307692308$$

Steps for Solving Linear Equation

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

$$32-\left(4+6x-5x-20\right)=4\times 3\times 4-\left(6\left(3x-4\right)+7-4x\right)$$

Combine 6x and -5x to get x.

$$32-\left(4+x-20\right)=4\times 3\times 4-\left(6\left(3x-4\right)+7-4x\right)$$

Subtract 20 from 4 to get -16.

$$32-\left(-16+x\right)=4\times 3\times 4-\left(6\left(3x-4\right)+7-4x\right)$$

To find the opposite of -16+x, find the opposite of each term.

$$32-\left(-16\right)-x=4\times 3\times 4-\left(6\left(3x-4\right)+7-4x\right)$$

The opposite of -16 is 16.

$$32+16-x=4\times 3\times 4-\left(6\left(3x-4\right)+7-4x\right)$$

Add 32 and 16 to get 48.

$$48-x=4\times 3\times 4-\left(6\left(3x-4\right)+7-4x\right)$$

Multiply 4 and 3 to get 12.

$$48-x=12\times 4-\left(6\left(3x-4\right)+7-4x\right)$$

Multiply 12 and 4 to get 48.

$$48-x=48-\left(6\left(3x-4\right)+7-4x\right)$$

Use the distributive property to multiply 6 by 3x-4.

$$48-x=48-\left(18x-24+7-4x\right)$$

Add -24 and 7 to get -17.

$$48-x=48-\left(18x-17-4x\right)$$

Combine 18x and -4x to get 14x.

$$48-x=48-\left(14x-17\right)$$

To find the opposite of 14x-17, find the opposite of each term.

$$48-x=48-14x-\left(-17\right)$$

The opposite of -17 is 17.

$$48-x=48-14x+17$$

Add 48 and 17 to get 65.

$$48-x=65-14x$$

Add 14x to both sides.

$$48-x+14x=65$$

Combine -x and 14x to get 13x.

$$48+13x=65$$

Subtract 48 from both sides.

$$13x=65-48$$

Subtract 48 from 65 to get 17.

$$13x=17$$

Divide both sides by 13.

$$x=\frac{17}{13}$$