What is the solution to the equation-2.5(x-4)=-3x+4

Answer:x = -12Step-by-step explanation:1. Multiply both sides by 10.-2.5 (x-4) · 10 = -3x · 10 + 4 · 10-25 (x-4) · 10 = -30x + 402. Apply the Distributive Property.-25x - (-25) · 4Apply minus - plus rule-25x + 25 · 4Multiply the number 25 · 4-25x + 100Put it back together-25x + 100 = -30x + 403. Subtract 100 from both sides.-25x + 100 - 100 = -30x + 40 - 1004. Simplify.-25x = -30x - 605. Add 30x to both sides.-25x + 30x = -30x - 60 + 30x6. Simplify5x = 607. Divide 5 on both sides[tex]\frac{5x}{5} = \frac{60}{5}[/tex]8. Simplify[tex]\frac{5x}{5}[/tex] = x[tex]\frac{60}{5}[/tex] = -12x = -12