1.25x+0.6(x-4)=-2.1(x+4)

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Solution for 1.25x+0.6(x-4)=-2.1(x+4) equation:


Simplifying
1.25x + 0.6(x + -4) = -2.1(x + 4)

Reorder the terms:
1.25x + 0.6(-4 + x) = -2.1(x + 4)
1.25x + (-4 * 0.6 + x * 0.6) = -2.1(x + 4)
1.25x + (-2.4 + 0.6x) = -2.1(x + 4)

Reorder the terms:
-2.4 + 1.25x + 0.6x = -2.1(x + 4)

Combine like terms: 1.25x + 0.6x = 1.85x
-2.4 + 1.85x = -2.1(x + 4)

Reorder the terms:
-2.4 + 1.85x = -2.1(4 + x)
-2.4 + 1.85x = (4 * -2.1 + x * -2.1)
-2.4 + 1.85x = (-8.4 + -2.1x)

Solving
-2.4 + 1.85x = -8.4 + -2.1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2.1x' to each side of the equation.
-2.4 + 1.85x + 2.1x = -8.4 + -2.1x + 2.1x

Combine like terms: 1.85x + 2.1x = 3.95x
-2.4 + 3.95x = -8.4 + -2.1x + 2.1x

Combine like terms: -2.1x + 2.1x = 0.0
-2.4 + 3.95x = -8.4 + 0.0
-2.4 + 3.95x = -8.4

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 3.95x = -8.4 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 3.95x = -8.4 + 2.4
3.95x = -8.4 + 2.4

Combine like terms: -8.4 + 2.4 = -6
3.95x = -6

Divide each side by '3.95'.
x = -1.518987342

Simplifying
x = -1.518987342

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