Solve 7(5 - x) = - 4(x - 11) | 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

$$7(5-x)=-4(x-11)$$

Solve for x

$x=-3$

Steps for Solving Linear Equation

Use the distributive property to multiply $7$ by $5-x$.

$$35-7x=-4\left(x-11\right)$$

Use the distributive property to multiply $-4$ by $x-11$.

$$35-7x=-4x+44$$

Add $4x$ to both sides.

$$35-7x+4x=44$$

Combine $-7x$ and $4x$ to get $-3x$.

$$35-3x=44$$

Subtract $35$ from both sides.

$$-3x=44-35$$

Subtract $35$ from $44$ to get $9$.

$$-3x=9$$

Divide both sides by $-3$.

$$x=\frac{9}{-3}$$

Divide $9$ by $-3$ to get $-3$.

$$x=-3$$