Solve 5{7+3-2[3x-5(2x+8)]}=6x

$$5 \{ 7 + 3 - 2 [ 3 x - 5 ( 2 x + 8 ) ] \} = 6 x$$

Solve for x

$$x = -\frac{225}{32} = -7\frac{1}{32} = -7.03125$$

Steps for Solving Linear Equation

Add 7 and 3 to get 10.

$$5\left(10-2\left(3x-5\left(2x+8\right)\right)\right)=6x$$

Use the distributive property to multiply -5 by 2x+8.

$$5\left(10-2\left(3x-10x-40\right)\right)=6x$$

Combine 3x and -10x to get -7x.

$$5\left(10-2\left(-7x-40\right)\right)=6x$$

Use the distributive property to multiply -2 by -7x-40.

$$5\left(10+14x+80\right)=6x$$

Add 10 and 80 to get 90.

$$5\left(90+14x\right)=6x$$

Use the distributive property to multiply 5 by 90+14x.

$$450+70x=6x$$

Subtract 6x from both sides.

$$450+70x-6x=0$$

Combine 70x and -6x to get 64x.

$$450+64x=0$$

Subtract 450 from both sides. Anything subtracted from zero gives its negation.

$$64x=-450$$

Divide both sides by 64.

$$x=\frac{-450}{64}$$

Reduce the fraction \frac{-450}{64} to lowest terms by extracting and canceling out 2.

$$x=-\frac{225}{32}$$