Solve 7(x - 2) = 7(x - 1) - 7 | 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

$$7(x-2)=7(x-1)-7$$

Solve for x (complex solution)

$x\in \mathrm{C}$

Solution Steps

Use the distributive property to multiply $7$ by $x-2$.

$$7x-14=7\left(x-1\right)-7$$

Use the distributive property to multiply $7$ by $x-1$.

$$7x-14=7x-7-7$$

Subtract $7$ from $-7$ to get $-14$.

$$7x-14=7x-14$$

Subtract $7x$ from both sides.

$$7x-14-7x=-14$$

Combine $7x$ and $-7x$ to get $0$.

$$-14=-14$$

Compare $-14$ and $-14$.

$$\text{true}$$

This is true for any $x$.

$$x\in \mathrm{C}$$

Solve for x

$x\in \mathrm{R}$

Solution Steps

Use the distributive property to multiply $7$ by $x-2$.

$$7x-14=7\left(x-1\right)-7$$

Use the distributive property to multiply $7$ by $x-1$.

$$7x-14=7x-7-7$$

Subtract $7$ from $-7$ to get $-14$.

$$7x-14=7x-14$$

Subtract $7x$ from both sides.

$$7x-14-7x=-14$$

Combine $7x$ and $-7x$ to get $0$.

$$-14=-14$$

Compare $-14$ and $-14$.

$$\text{true}$$

This is true for any $x$.

$$x\in \mathrm{R}$$