1.4(x+2)-2.6(x+3)=-9

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Solution for 1.4(x+2)-2.6(x+3)=-9 equation:


Simplifying
1.4(x + 2) + -2.6(x + 3) = -9

Reorder the terms:
1.4(2 + x) + -2.6(x + 3) = -9
(2 * 1.4 + x * 1.4) + -2.6(x + 3) = -9
(2.8 + 1.4x) + -2.6(x + 3) = -9

Reorder the terms:
2.8 + 1.4x + -2.6(3 + x) = -9
2.8 + 1.4x + (3 * -2.6 + x * -2.6) = -9
2.8 + 1.4x + (-7.8 + -2.6x) = -9

Reorder the terms:
2.8 + -7.8 + 1.4x + -2.6x = -9

Combine like terms: 2.8 + -7.8 = -5
-5 + 1.4x + -2.6x = -9

Combine like terms: 1.4x + -2.6x = -1.2x
-5 + -1.2x = -9

Solving
-5 + -1.2x = -9

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + -1.2x = -9 + 5

Combine like terms: -5 + 5 = 0
0 + -1.2x = -9 + 5
-1.2x = -9 + 5

Combine like terms: -9 + 5 = -4
-1.2x = -4

Divide each side by '-1.2'.
x = 3.333333333

Simplifying
x = 3.333333333

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