Solve 7-(10-8x)=23-(4+14x)

$$7 - ( 10 - 8 x ) = 23 - ( 4 + 14 x )$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

To find the opposite of 10-8x, find the opposite of each term.

$$7-10-\left(-8x\right)=23-\left(4+14x\right)$$

The opposite of -8x is 8x.

$$7-10+8x=23-\left(4+14x\right)$$

Subtract 10 from 7 to get -3.

$$-3+8x=23-\left(4+14x\right)$$

To find the opposite of 4+14x, find the opposite of each term.

$$-3+8x=23-4-14x$$

Subtract 4 from 23 to get 19.

$$-3+8x=19-14x$$

Add 14x to both sides.

$$-3+8x+14x=19$$

Combine 8x and 14x to get 22x.

$$-3+22x=19$$

Add 3 to both sides.

$$22x=19+3$$

Add 19 and 3 to get 22.

$$22x=22$$

Divide both sides by 22.

$$x=\frac{22}{22}$$

Divide 22 by 22 to get 1.

$$x=1$$