Solve 5x-3(5+3x)=6(5x-2)+3x

$$5x-3(5+3x)=6(5x-2)+3x$$

Solve for x

$$x=-\frac{3}{37}\approx -0.081081081$$

Steps for Solving Linear Equation

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

$$5x-15-9x=6\left(5x-2\right)+3x$$

Combine 5x and -9x to get -4x.

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

Use the distributive property to multiply 6 by 5x-2.

$$-4x-15=30x-12+3x$$

Combine 30x and 3x to get 33x.

$$-4x-15=33x-12$$

Subtract 33x from both sides.

$$-4x-15-33x=-12$$

Combine -4x and -33x to get -37x.

$$-37x-15=-12$$

Add 15 to both sides.

$$-37x=-12+15$$

Add -12 and 15 to get 3.

$$-37x=3$$

Divide both sides by -37.

$$x=\frac{3}{-37}$$

Fraction \frac{3}{-37} can be rewritten as -\frac{3}{37} by extracting the negative sign.

$$x=-\frac{3}{37}$$