Solve 34(x-1)-12(2x-2)=7(05)+2(225+3x)

$$34(x-1)-12(2x-2)=7(05)+2(225+3x)$$

Solve for x

$$x=115$$

Steps for Solving Linear Equation

Use the distributive property to multiply 34 by x-1.

$$34x-34-12\left(2x-2\right)=7\times 0\times 5+2\left(225+3x\right)$$

Use the distributive property to multiply -12 by 2x-2.

$$34x-34-24x+24=7\times 0\times 5+2\left(225+3x\right)$$

Combine 34x and -24x to get 10x.

$$10x-34+24=7\times 0\times 5+2\left(225+3x\right)$$

Add -34 and 24 to get -10.

$$10x-10=7\times 0\times 5+2\left(225+3x\right)$$

Multiply 7 and 0 to get 0.

$$10x-10=0\times 5+2\left(225+3x\right)$$

Multiply 0 and 5 to get 0.

$$10x-10=0+2\left(225+3x\right)$$

Use the distributive property to multiply 2 by 225+3x.

$$10x-10=0+450+6x$$

Add 0 and 450 to get 450.

$$10x-10=450+6x$$

Subtract 6x from both sides.

$$10x-10-6x=450$$

Combine 10x and -6x to get 4x.

$$4x-10=450$$

Add 10 to both sides.

$$4x=450+10$$

Add 450 and 10 to get 460.

$$4x=460$$

Divide both sides by 4.

$$x=\frac{460}{4}$$

Divide 460 by 4 to get 115.

$$x=115$$