Solve 5x-4(2x+3)=3-2(4-5x)

$$5 x - 4 ( 2 x + 3 ) = 3 - 2 ( 4 - 5 x )$$

Solve for x

$$x=-\frac{7}{13}\approx -0.538461538$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by 2x+3.

$$5x-8x-12=3-2\left(4-5x\right)$$

Combine 5x and -8x to get -3x.

$$-3x-12=3-2\left(4-5x\right)$$

Use the distributive property to multiply -2 by 4-5x.

$$-3x-12=3-8+10x$$

Subtract 8 from 3 to get -5.

$$-3x-12=-5+10x$$

Subtract 10x from both sides.

$$-3x-12-10x=-5$$

Combine -3x and -10x to get -13x.

$$-13x-12=-5$$

Add 12 to both sides.

$$-13x=-5+12$$

Add -5 and 12 to get 7.

$$-13x=7$$

Divide both sides by -13.

$$x=\frac{7}{-13}$$

Fraction \frac{7}{-13} can be rewritten as -\frac{7}{13} by extracting the negative sign.

$$x=-\frac{7}{13}$$