Step-by-step explanation:
since -4(x-1) + 6x = 2(17-x) [expand the bracket]
⇒ -4x +4 + 6x = 34 - 2x [group like terms across the equal sign]
⇒ -4x + 2x + 6x = 34 - 4 [simplify like terms]
⇒ 4x = 30 [divide both sides by 4]
⇒ x = ³⁰/₄ [simplify RHS to lowest possible fraction]
Check:
-4((¹⁵/₂) - 1) + 6(¹⁵/₂) = 2(17-(¹⁵/₂))
19 = 19 ✅
