Solve 2(x-1)+3(x+4)=x+3

$$2 ( x - 1 ) + 3 ( x + 4 ) = x + 3$$

Solve for x

$$x = -\frac{7}{4} = -1\frac{3}{4} = -1.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x-1.

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

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

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

Combine 2x and 3x to get 5x.

$$5x-2+12=x+3$$

Add -2 and 12 to get 10.

$$5x+10=x+3$$

Subtract x from both sides.

$$5x+10-x=3$$

Combine 5x and -x to get 4x.

$$4x+10=3$$

Subtract 10 from both sides.

$$4x=3-10$$

Subtract 10 from 3 to get -7.

$$4x=-7$$

Divide both sides by 4.

$$x=\frac{-7}{4}$$

Fraction \frac{-7}{4} can be rewritten as -\frac{7}{4} by extracting the negative sign.

$$x=-\frac{7}{4}$$