Solve 5+2(x+5)=10-(4-5x)

$$5 + 2 ( x + 5 ) = 10 - ( 4 - 5 x )$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

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

$$5+2x+10=10-\left(4-5x\right)$$

Add 5 and 10 to get 15.

$$15+2x=10-\left(4-5x\right)$$

To find the opposite of 4-5x, find the opposite of each term.

$$15+2x=10-4-\left(-5x\right)$$

The opposite of -5x is 5x.

$$15+2x=10-4+5x$$

Subtract 4 from 10 to get 6.

$$15+2x=6+5x$$

Subtract 5x from both sides.

$$15+2x-5x=6$$

Combine 2x and -5x to get -3x.

$$15-3x=6$$

Subtract 15 from both sides.

$$-3x=6-15$$

Subtract 15 from 6 to get -9.

$$-3x=-9$$

Divide both sides by -3.

$$x=\frac{-9}{-3}$$

Divide -9 by -3 to get 3.

$$x=3$$