Question

0.9(x+1.4)-23+0.1x=1.6

Answer 1

Simplifying 0.9(x + 1.4) + -2.3 + 0.1x = 1.6 Reorder the terms: 0.9(1.4 + x) + -2.3 + 0.1x = 1.6 (1.4 * 0.9 + x * 0.9) + -2.3 + 0.1x = 1.6 (1.26 + 0.9x) + -2.3 + 0.1x = 1.6 Reorder the terms: 1.26 + -2.3 + 0.9x + 0.1x = 1.6 Combine like terms: 1.26 + -2.3 = -1.04 -1.04 + 0.9x + 0.1x = 1.6 Combine like terms: 0.9x + 0.1x = 1x -1.04 + 1x = 1.6 Solving -1.04 + 1x = 1.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.04' to each side of the equation. -1.04 + 1.04 + 1x = 1.6 + 1.04 Combine like terms: -1.04 + 1.04 = 0.00 0.00 + 1x = 1.6 + 1.04 1x = 1.6 + 1.04 Combine like terms: 1.6 + 1.04 = 2.64 1x = 2.64 Divide each side by '1'. x = 2.64 Simplifying x = 2.64