Solve 10-(4-3x)+5x=6(2x-1)+8

$$10 - ( 4 - 3 x ) + 5 x = 6 ( 2 x - 1 ) + 8$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

To find the opposite of 4-3x, find the opposite of each term.

$$10-4-\left(-3x\right)+5x=6\left(2x-1\right)+8$$

The opposite of -3x is 3x.

$$10-4+3x+5x=6\left(2x-1\right)+8$$

Subtract 4 from 10 to get 6.

$$6+3x+5x=6\left(2x-1\right)+8$$

Combine 3x and 5x to get 8x.

$$6+8x=6\left(2x-1\right)+8$$

Use the distributive property to multiply 6 by 2x-1.

$$6+8x=12x-6+8$$

Add -6 and 8 to get 2.

$$6+8x=12x+2$$

Subtract 12x from both sides.

$$6+8x-12x=2$$

Combine 8x and -12x to get -4x.

$$6-4x=2$$

Subtract 6 from both sides.

$$-4x=2-6$$

Subtract 6 from 2 to get -4.

$$-4x=-4$$

Divide both sides by -4.

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

Divide -4 by -4 to get 1.

$$x=1$$