Lesson Worksheet: Linear Equations with Variables on Both Sides Mathematics • 8th Grade

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In this worksheet, we will practice solving equations in which the variable is on each side of the equation.

Q1:

Find the value of π‘₯: 4π‘₯+5=1+5π‘₯.

Q2:

Solve the equation βˆ’6(9π‘₯βˆ’2)βˆ’4(7π‘₯+1)=βˆ’5(2π‘₯βˆ’4).

  • Aπ‘₯=βˆ’16
  • Bπ‘₯=βˆ’441
  • Cπ‘₯=124
  • Dπ‘₯=βˆ’723

Q3:

Find the value of π‘₯ in 16βˆ’2π‘₯=5π‘₯+9.

Q4:

Solve the equation βˆ’7π‘₯+9=βˆ’22+4π‘₯.

  • Aπ‘₯=3111
  • Bπ‘₯=313
  • Cπ‘₯=133
  • Dπ‘₯=1131

Q5:

Given that 6π‘₯+π‘˜+8=6π‘₯βˆ’2, find π‘˜.

Q6:

Find the value of π‘₯: 2βˆ’12π‘₯=3π‘₯+16.

Q7:

Find the value of π‘₯: 7π‘₯βˆ’15=5π‘₯βˆ’3.

Q8:

Find the value of π‘₯: 12.6+4π‘₯=9.6+8π‘₯.

  • Aβˆ’11120
  • Bβˆ’34
  • C34
  • Dβˆ’14
  • E14

Q9:

Find the value of π‘₯ in 4.5+1.5π‘₯=18βˆ’3π‘₯.

Q10:

Find the solution set of the equation βˆ’53+π‘₯3=13βˆ’π‘₯3.

  • A{6}
  • B{2}
  • C{3}
  • D{4}

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