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

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

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

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

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

Subtract 6 from 3 to get -3.

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

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

$$-3-2x=4x+3x-12+3$$

Combine 4x and 3x to get 7x.

$$-3-2x=7x-12+3$$

Add -12 and 3 to get -9.

$$-3-2x=7x-9$$

Subtract 7x from both sides.

$$-3-2x-7x=-9$$

Combine -2x and -7x to get -9x.

$$-3-9x=-9$$

Add 3 to both sides.

$$-9x=-9+3$$

Add -9 and 3 to get -6.

$$-9x=-6$$

Divide both sides by -9.

$$x=\frac{-6}{-9}$$

Reduce the fraction \frac{-6}{-9} to lowest terms by extracting and canceling out -3.

$$x=\frac{2}{3}$$