Solve 3[2-4(1+x)]=5-3(3-x)

$$3 [ 2 - 4 ( 1 + x ) ] = 5 - 3 ( 3 - x )$$

Solve for x

$$x=-\frac{2}{15}\approx -0.133333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by 1+x.

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

Subtract 4 from 2 to get -2.

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

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

$$-6-12x=5-3\left(3-x\right)$$

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

$$-6-12x=5-9+3x$$

Subtract 9 from 5 to get -4.

$$-6-12x=-4+3x$$

Subtract 3x from both sides.

$$-6-12x-3x=-4$$

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

$$-6-15x=-4$$

Add 6 to both sides.

$$-15x=-4+6$$

Add -4 and 6 to get 2.

$$-15x=2$$

Divide both sides by -15.

$$x=\frac{2}{-15}$$

Fraction \frac{2}{-15} can be rewritten as -\frac{2}{15} by extracting the negative sign.

$$x=-\frac{2}{15}$$