-1.4(5-x)+2.5(2+x)=-3.6+x

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Solution for -1.4(5-x)+2.5(2+x)=-3.6+x equation:


Simplifying
-1.4(5 + -1x) + 2.5(2 + x) = -3.6 + x
(5 * -1.4 + -1x * -1.4) + 2.5(2 + x) = -3.6 + x
(-7 + 1.4x) + 2.5(2 + x) = -3.6 + x
-7 + 1.4x + (2 * 2.5 + x * 2.5) = -3.6 + x
-7 + 1.4x + (5 + 2.5x) = -3.6 + x

Reorder the terms:
-7 + 5 + 1.4x + 2.5x = -3.6 + x

Combine like terms: -7 + 5 = -2
-2 + 1.4x + 2.5x = -3.6 + x

Combine like terms: 1.4x + 2.5x = 3.9x
-2 + 3.9x = -3.6 + x

Solving
-2 + 3.9x = -3.6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-2 + 3.9x + -1x = -3.6 + x + -1x

Combine like terms: 3.9x + -1x = 2.9x
-2 + 2.9x = -3.6 + x + -1x

Combine like terms: x + -1x = 0
-2 + 2.9x = -3.6 + 0
-2 + 2.9x = -3.6

Add '2' to each side of the equation.
-2 + 2 + 2.9x = -3.6 + 2

Combine like terms: -2 + 2 = 0
0 + 2.9x = -3.6 + 2
2.9x = -3.6 + 2

Combine like terms: -3.6 + 2 = -1.6
2.9x = -1.6

Divide each side by '2.9'.
x = -0.5517241379

Simplifying
x = -0.5517241379

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