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

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

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

To find the opposite of 2-5x, find the opposite of each term.

$$3x-2-\left(-5x\right)=5\left(2x-1\right)+7$$

The opposite of -5x is 5x.

$$3x-2+5x=5\left(2x-1\right)+7$$

Combine 3x and 5x to get 8x.

$$8x-2=5\left(2x-1\right)+7$$

Use the distributive property to multiply 5 by 2x-1.

$$8x-2=10x-5+7$$

Add -5 and 7 to get 2.

$$8x-2=10x+2$$

Subtract 10x from both sides.

$$8x-2-10x=2$$

Combine 8x and -10x to get -2x.

$$-2x-2=2$$

Add 2 to both sides.

$$-2x=2+2$$

Add 2 and 2 to get 4.

$$-2x=4$$

Divide both sides by -2.

$$x=\frac{4}{-2}$$

Divide 4 by -2 to get -2.

$$x=-2$$