-7|x+1|-5=2|x+1|-5 — step-by-step solution

Let's solve in

ℝ

- 7 \cdot | x + 1 | - 5 = 2 \cdot | x + 1 | - 5

- 7 \cdot | x + 1 |

- 5

- 2 \cdot | x + 1 |

+ 5 = 0

ⓘ Start from

-5

and move forward

5

on the number line, up to zero:

- 5 + 5

0

■Like terms are grouped by adding their coefficients:

- 7 \cdot | x + 1 | - 2 \cdot | x + 1 |

-9 \cdot | x + 1 |

- 9 \cdot | x + 1 | + 0 = 0

ⓘ Adding 0 changes nothing:

- 9 \cdot | x + 1 | + 0

-9 \cdot | x + 1 |

- 9 \cdot | x + 1 | = 0

We simplify the expression by

-9

⇥Let's solve in

ℝ

| x + 1 | = 0

⇥Let's solve in

ℝ

x + 1 = 0

⇥ⓘ We subtract

1

from both sides

▶Solution obtained:

x = -1