Solve 4x-3x-(-2x+1)-7x=-8(-3+x-2)

$$4x-3x-(-2x+1)-7x=-8(-3+x-2)$$

Solve for x

$$x = \frac{41}{4} = 10\frac{1}{4} = 10.25$$

Steps for Solving Linear Equation

Combine 4x and -3x to get x.

$$x-\left(-2x+1\right)-7x=-8\left(-3+x-2\right)$$

To find the opposite of -2x+1, find the opposite of each term.

$$x-\left(-2x\right)-1-7x=-8\left(-3+x-2\right)$$

The opposite of -2x is 2x.

$$x+2x-1-7x=-8\left(-3+x-2\right)$$

Combine x and 2x to get 3x.

$$3x-1-7x=-8\left(-3+x-2\right)$$

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

$$-4x-1=-8\left(-3+x-2\right)$$

Subtract 2 from -3 to get -5.

$$-4x-1=-8\left(-5+x\right)$$

Use the distributive property to multiply -8 by -5+x.

$$-4x-1=40-8x$$

Add 8x to both sides.

$$-4x-1+8x=40$$

Combine -4x and 8x to get 4x.

$$4x-1=40$$

Add 1 to both sides.

$$4x=40+1$$

Add 40 and 1 to get 41.

$$4x=41$$

Divide both sides by 4.

$$x=\frac{41}{4}$$