Solve 4(x-0,5)-9(7-2x)=3(5x+1)-12

$$4 ( x - 0,5 ) - 9 ( 7 - 2 x ) = 3 ( 5 x + 1 ) - 12$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x-0,5.

$$4x-2-9\left(7-2x\right)=3\left(5x+1\right)-12$$

Use the distributive property to multiply -9 by 7-2x.

$$4x-2-63+18x=3\left(5x+1\right)-12$$

Subtract 63 from -2 to get -65.

$$4x-65+18x=3\left(5x+1\right)-12$$

Combine 4x and 18x to get 22x.

$$22x-65=3\left(5x+1\right)-12$$

Use the distributive property to multiply 3 by 5x+1.

$$22x-65=15x+3-12$$

Subtract 12 from 3 to get -9.

$$22x-65=15x-9$$

Subtract 15x from both sides.

$$22x-65-15x=-9$$

Combine 22x and -15x to get 7x.

$$7x-65=-9$$

Add 65 to both sides.

$$7x=-9+65$$

Add -9 and 65 to get 56.

$$7x=56$$

Divide both sides by 7.

$$x=\frac{56}{7}$$

Divide 56 by 7 to get 8.

$$x=8$$