1. −2x−4=20+6x Step 1: Simplify both sides of the equation. −2x−4=20+6x −2x+−4=20+6x −2x−4=6x+20 Step 2: Subtract 6x from both sides. −2x−4−6x=6x+20−6x −8x−4=20 Step 3: Add 4 to both sides. −8x−4+4=20+4 −8x=24 Step 4: Divide both sides by -8. −8x/−8=24/−8 x=−3 Answer: x=−3
3. (x/4)*(4)=(9)*(4) x=36 Answer: x=36
4. 2(5x−1)=3x+5 Step 1: Simplify both sides of the equation. 2(5x−1)=3x+5 (2)(5x)+(2)(−1)=3x+5(Distribute) 10x+−2=3x+5 10x−2=3x+5 Step 2: Subtract 3x from both sides. 10x−2−3x=3x+5−3x 7x−2=5 Step 3: Add 2 to both sides. 7x−2+2=5+2 7x=7 Step 4: Divide both sides by 7. 7x/7=7/7 x=1 Answer: x=1
5. 8−2(3x−4)+2x=5(x+6)+4 Step 1: Simplify both sides of the equation. 8−2(3x−4)+2x=5(x+6)+4 8+(−2)(3x)+(−2)(−4)+2x=(5)(x)+(5)(6)+4(Distribute) 8+−6x+8+2x=5x+30+4 (−6x+2x)+(8+8)=(5x)+(30+4)(Combine Like Terms) −4x+16=5x+34 −4x+16=5x+34 Step 2: Subtract 5x from both sides. −4x+16−5x=5x+34−5x −9x+16=34 Step 3: Subtract 16 from both sides. −9x+16−16=34−16 −9x=18 Step 4: Divide both sides by -9. −9x/−9=18/−9 x=−2 Answer: x=−2
