Solve 2(x+2)-3left(x-2right)=5-4left(3x-1right)

$$2(x+2)-3 \left( x-2 \right) = 5-4 \left( 3x-1 \right)$$

Solve for x

$$x=-\frac{1}{11}\approx -0.090909091$$

Steps for Solving Linear Equation

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

$$2x+4-3\left(x-2\right)=5-4\left(3x-1\right)$$

Use the distributive property to multiply -3 by x-2.

$$2x+4-3x+6=5-4\left(3x-1\right)$$

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

$$-x+4+6=5-4\left(3x-1\right)$$

Add 4 and 6 to get 10.

$$-x+10=5-4\left(3x-1\right)$$

Use the distributive property to multiply -4 by 3x-1.

$$-x+10=5-12x+4$$

Add 5 and 4 to get 9.

$$-x+10=9-12x$$

Add 12x to both sides.

$$-x+10+12x=9$$

Combine -x and 12x to get 11x.

$$11x+10=9$$

Subtract 10 from both sides.

$$11x=9-10$$

Subtract 10 from 9 to get -1.

$$11x=-1$$

Divide both sides by 11.

$$x=\frac{-1}{11}$$

Fraction \frac{-1}{11} can be rewritten as -\frac{1}{11} by extracting the negative sign.

$$x=-\frac{1}{11}$$