Solve 11*(x-2)=-3*(x-7)+3*(5x+9)

$$11 \cdot ( x - 2 ) = - 3 \cdot ( x - 7 ) + 3 \cdot ( 5 x + 9 )$$

Solve for x

$$x=-70$$

Steps for Solving Linear Equation

Use the distributive property to multiply 11 by x-2.

$$11x-22=-3\left(x-7\right)+3\left(5x+9\right)$$

Use the distributive property to multiply -3 by x-7.

$$11x-22=-3x+21+3\left(5x+9\right)$$

Use the distributive property to multiply 3 by 5x+9.

$$11x-22=-3x+21+15x+27$$

Combine -3x and 15x to get 12x.

$$11x-22=12x+21+27$$

Add 21 and 27 to get 48.

$$11x-22=12x+48$$

Subtract 12x from both sides.

$$11x-22-12x=48$$

Combine 11x and -12x to get -x.

$$-x-22=48$$

Add 22 to both sides.

$$-x=48+22$$

Add 48 and 22 to get 70.

$$-x=70$$

Multiply both sides by -1.

$$x=-70$$