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

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

Solve for x

$$x=-14$$

Steps for Solving Linear Equation

To find the opposite of x+3, find the opposite of each term.

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

Combine -x and x to get 0.

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

Subtract 4 from -3 to get -7.

$$-7=2\left(2x-1\right)-3\left(x-3\right)$$

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

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

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

$$-7=4x-2-3x+9$$

Combine 4x and -3x to get x.

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

Add -2 and 9 to get 7.

$$-7=x+7$$

Swap sides so that all variable terms are on the left hand side.

$$x+7=-7$$

Subtract 7 from both sides.

$$x=-7-7$$

Subtract 7 from -7 to get -14.

$$x=-14$$