Algebra Class 10: Solving for x

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Isolate the variable (x) by performing inverse operations on both sides of the equation to find its value.

Isolating the variable (x) by reversing the order of operations and applying the inverse operation on both sides of the equation.

Isolate the variable (x) by performing inverse operations on both sides of the equation to find its value.

To isolate a variable means to get the variable by itself on one side of an equation.

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Operations that undo each other, such as addition and subtraction, multiplication and division.

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To solve for x in the equation 7x + 3 = 52, we need to isolate x.
- Subtract 3 from both sides: 7x = 49
- Divide both sides by 7: x = 7
To solve for x in the equation 4 + 5x = 44, we need to isolate x.
- Subtract 4 from both sides: 5x = 40
- Divide both sides by 5: x = 8
To solve for x in the equation 4x - 1 = 31, we need to isolate x.
- Add 1 to both sides: 4x = 32
- Divide both sides by 4: x = 8
To solve for x in the equation 9 + 7x = 30, we need to isolate x.
- Subtract 9 from both sides: 7x = 21
- Divide both sides by 7: x = 3
To solve for x in the equation 53 = 8x + 5, we need to isolate x.
- Subtract 5 from both sides: 48 = 8x
- Divide both sides by 8: x = 6