Solve 11.16=7.56+(x-1)(0.09) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$11.16=7.56+(x-1)(0.09)$$

Solve for x

$x=41$

Steps for Solving Linear Equation

Use the distributive property to multiply $x-1$ by $0.09$.

$$11.16=7.56+0.09x-0.09$$

Subtract $0.09$ from $7.56$ to get $7.47$.

$$11.16=7.47+0.09x$$

Swap sides so that all variable terms are on the left hand side.

$$7.47+0.09x=11.16$$

Subtract $7.47$ from both sides.

$$0.09x=11.16-7.47$$

Subtract $7.47$ from $11.16$ to get $3.69$.

$$0.09x=3.69$$

Divide both sides by $0.09$.

$$x=\frac{3.69}{0.09}$$

Expand $\frac{3.69}{0.09}$ by multiplying both numerator and the denominator by $100$.

$$x=\frac{369}{9}$$

Divide $369$ by $9$ to get $41$.

$$x=41$$