Solve 3(x-1)+4(x+3)=5x+7-2(x-3)

$$3 ( x - 1 ) + 4 ( x + 3 ) = 5 x + 7 - 2 ( x - 3 )$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$3x-3+4\left(x+3\right)=5x+7-2\left(x-3\right)$$

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

$$3x-3+4x+12=5x+7-2\left(x-3\right)$$

Combine 3x and 4x to get 7x.

$$7x-3+12=5x+7-2\left(x-3\right)$$

Add -3 and 12 to get 9.

$$7x+9=5x+7-2\left(x-3\right)$$

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

$$7x+9=5x+7-2x+6$$

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

$$7x+9=3x+7+6$$

Add 7 and 6 to get 13.

$$7x+9=3x+13$$

Subtract 3x from both sides.

$$7x+9-3x=13$$

Combine 7x and -3x to get 4x.

$$4x+9=13$$

Subtract 9 from both sides.

$$4x=13-9$$

Subtract 9 from 13 to get 4.

$$4x=4$$

Divide both sides by 4.

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

Divide 4 by 4 to get 1.

$$x=1$$