Solve 5(x+3)+4x-5=4-2x

$$5 ( x + 3 ) + 4 x - 5 = 4 - 2 x$$

Solve for x

$$x=-\frac{6}{11}\approx -0.545454545$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x+3.

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

Combine 5x and 4x to get 9x.

$$9x+15-5=4-2x$$

Subtract 5 from 15 to get 10.

$$9x+10=4-2x$$

Add 2x to both sides.

$$9x+10+2x=4$$

Combine 9x and 2x to get 11x.

$$11x+10=4$$

Subtract 10 from both sides.

$$11x=4-10$$

Subtract 10 from 4 to get -6.

$$11x=-6$$

Divide both sides by 11.

$$x=\frac{-6}{11}$$

Fraction \frac{-6}{11} can be rewritten as -\frac{6}{11} by extracting the negative sign.

$$x=-\frac{6}{11}$$