Solve 2*(x-10)+7x=16-5*(30-3x)

$$2 \cdot ( x - 10 ) + 7 x = 16 - 5 \cdot ( 30 - 3 x )$$

Solve for x

$$x=19$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x-10.

$$2x-20+7x=16-5\left(30-3x\right)$$

Combine 2x and 7x to get 9x.

$$9x-20=16-5\left(30-3x\right)$$

Use the distributive property to multiply -5 by 30-3x.

$$9x-20=16-150+15x$$

Subtract 150 from 16 to get -134.

$$9x-20=-134+15x$$

Subtract 15x from both sides.

$$9x-20-15x=-134$$

Combine 9x and -15x to get -6x.

$$-6x-20=-134$$

Add 20 to both sides.

$$-6x=-134+20$$

Add -134 and 20 to get -114.

$$-6x=-114$$

Divide both sides by -6.

$$x=\frac{-114}{-6}$$

Divide -114 by -6 to get 19.

$$x=19$$