![\qquad \qquad \huge \sf \underline{Solution}](https://img.qammunity.org/2023/formulas/mathematics/college/k3hc4y5spjz5wuw9i3l59ecp0mvvhkxyw9.png)
☘ Whαt wє nєєd tσ knσw вєfσrє wє ѕσlvє :
➺ Mσduluѕ (mσd) iѕ α mαthєmαticαl functiσn thαt givєѕ αвѕσlutє vαluє σf α numвєr σr vαríαвlє.
⧉ Thαt is :
✤ 1 :positive value ➙ +vє value [ |a| ➙ a ]
✤ 2 :negative value ➙ +vє value [ |-a| ➙ a ]
✤ 3 :variable term ➙ +vє variable [ |x| ➙± x ]
❐ if value in the value in variable is negative, then
- |x| = -x [ minus sign makes -ve value +ve ]
- |x| = x [ there's no need to change if value is already positive ]
━━━━━━━━━━━━━━━━━━━━━━━
❐ nσw, mσvє σn tσ quєѕtiσn :
![\qquad \: \multimap \sf|8| + | - 7| = x](https://img.qammunity.org/2023/formulas/mathematics/college/kgl2ie8ch5zdxza37nxo8r7uex8tvuzqki.png)
![\qquad \: \multimap \sf8 + 7 = x](https://img.qammunity.org/2023/formulas/mathematics/college/20u7a7p0edaipil5ie3g1rcvuvbfba2w0q.png)
![\qquad \: \multimap \sf x = 15](https://img.qammunity.org/2023/formulas/mathematics/college/mvrs59jw2dgylfbewylo2l19je8tbhihsk.png)
✦ thєrєfσrє, vαluє σf х iѕ 15