0.2(4x+3)-(1.4)(x-4)=5-(0.9x)
Answers
Answer:
x=-4
Step-by-step explanation:
+ 3) + -1.4(x + -4) = 5 + -0.9x
Reorder the terms:
0.2(3 + 4x) + -1.4(x + -4) = 5 + -0.9x
(3 * 0.2 + 4x * 0.2) + -1.4(x + -4) = 5 + -0.9x
(0.6 + 0.8x) + -1.4(x + -4) = 5 + -0.9x
Reorder the terms:
0.6 + 0.8x + -1.4(-4 + x) = 5 + -0.9x
0.6 + 0.8x + (-4 * -1.4 + x * -1.4) = 5 + -0.9x
0.6 + 0.8x + (5.6 + -1.4x) = 5 + -0.9x
Reorder the terms:
0.6 + 5.6 + 0.8x + -1.4x = 5 + -0.9x
Combine like terms: 0.6 + 5.6 = 6.2
6.2 + 0.8x + -1.4x = 5 + -0.9x
Combine like terms: 0.8x + -1.4x = -0.6x
6.2 + -0.6x = 5 + -0.9x
Solving
6.2 + -0.6x = 5 + -0.9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '0.9x' to each side of the equation.
6.2 + -0.6x + 0.9x = 5 + -0.9x + 0.9x
Combine like terms: -0.6x + 0.9x = 0.3x
6.2 + 0.3x = 5 + -0.9x + 0.9x
Combine like terms: -0.9x + 0.9x = 0.0
6.2 + 0.3x = 5 + 0.0
6.2 + 0.3x = 5
Add '-6.2' to each side of the equation.
6.2 + -6.2 + 0.3x = 5 + -6.2
Combine like terms: 6.2 + -6.2 = 0.0
0.0 + 0.3x = 5 + -6.2
0.3x = 5 + -6.2
Combine like terms: 5 + -6.2 = -1.2
0.3x = -1.2
Divide each side by '0.3'.
x = -4
Simplifying
x = -4
Answer:
x = -4
Step-by-step explanation:
0.2(4x+3) - (1.4)(x-4) = 5 - (0.9x)
0.8x + 0.6 - 1.4x + 5.6 = 5 - 0.9x
0.8x - 1.4x + 0.9x = 5 - 0.6 - 5.6
0.3x = -1.2
x = -1.2/0.3
x = -4