4-(2z-3)=3(z+2)+4

Simplify each term.

Apply the distributive property.

4-(2z)–3=3(z+2)+4

Multiply 2 by -1.

4-2z–3=3(z+2)+4

Multiply -1 by -3.

4-2z+3=3(z+2)+4

4-2z+3=3(z+2)+4

Add 4 and 3.

-2z+7=3(z+2)+4

-2z+7=3(z+2)+4

Simplify each term.

Apply the distributive property.

-2z+7=3z+3⋅2+4

Multiply 3 by 2.

-2z+7=3z+6+4

-2z+7=3z+6+4

Add 6 and 4.

-2z+7=3z+10

-2z+7=3z+10

Subtract 3z from both sides of the equation.

-2z+7-3z=10

Subtract 3z from -2z.

-5z+7=10

-5z+7=10

Subtract 7 from both sides of the equation.

-5z=10-7

Subtract 7 from 10.

-5z=3

-5z=3

Divide each term in -5z=3 by -5.

-5z-5=3-5

Cancel the common factor of -5.

Cancel the common factor.

-5z-5=3-5

Divide z by 1.

z=3-5

z=3-5

Move the negative in front of the fraction.

z=-35

z=-35

The result can be shown in multiple forms.

Exact Form:

z=-35

Decimal Form:

z=-0.6

Solve for z 4-(2z-3)=3(z+2)+4