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Question Solve the equation 16−3x=20−7x16-3x = 20-7x to find the value of xx.

Studdy Solution

STEP 1

1. The equation 16−3x=20−7x16-3x=20-7x is a linear equation in one variable.
2. To solve for xx, we need to isolate xx on one side of the equation.

STEP 2

1. Add 7x7x to both sides of the equation to move all xx terms to one side.
2. Subtract 1616 from both sides of the equation to move all constant terms to the other side.
3. Divide by the coefficient of xx to solve for xx.

STEP 3

Add 7x7x to both sides of the equation to move all xx terms to one side.
16−3x+7x=20−7x+7x 16 - 3x + 7x = 20 - 7x + 7x

STEP 4

Combine like terms on both sides of the equation.
16+4x=20 16 + 4x = 20

STEP 5

Subtract 1616 from both sides of the equation to move all constant terms to the other side.
16+4x−16=20−16 16 + 4x - 16 = 20 - 16

STEP 6

Simplify both sides of the equation.
4x=4 4x = 4

STEP 7

Divide by the coefficient of xx to solve for xx.
4x4=44 \frac{4x}{4} = \frac{4}{4}

STEP 8

Simplify both sides of the equation to find the value of xx.
x=1 x = 1
The solution to the equation 16−3x=20−7x16-3x=20-7x is x=1x=1.

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