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

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

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x+3.

$$2x+5x+15=6x-4\left(3x-10\right)+1$$

Combine 2x and 5x to get 7x.

$$7x+15=6x-4\left(3x-10\right)+1$$

Use the distributive property to multiply -4 by 3x-10.

$$7x+15=6x-12x+40+1$$

Combine 6x and -12x to get -6x.

$$7x+15=-6x+40+1$$

Add 40 and 1 to get 41.

$$7x+15=-6x+41$$

Add 6x to both sides.

$$7x+15+6x=41$$

Combine 7x and 6x to get 13x.

$$13x+15=41$$

Subtract 15 from both sides.

$$13x=41-15$$

Subtract 15 from 41 to get 26.

$$13x=26$$

Divide both sides by 13.

$$x=\frac{26}{13}$$

Divide 26 by 13 to get 2.

$$x=2$$