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

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

Solve for x

$$x=5$$

Steps for Solving Linear Equation

To find the opposite of 3-5x, find the opposite of each term.

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

The opposite of -5x is 5x.

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

Combine 2x and 5x to get 7x.

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

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

$$7x-3=4x+12$$

Subtract 4x from both sides.

$$7x-3-4x=12$$

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

$$3x-3=12$$

Add 3 to both sides.

$$3x=12+3$$

Add 12 and 3 to get 15.

$$3x=15$$

Divide both sides by 3.

$$x=\frac{15}{3}$$

Divide 15 by 3 to get 5.

$$x=5$$