-6.9(x-1)-5.9(x-2.2)=-13.4

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Solution for -6.9(x-1)-5.9(x-2.2)=-13.4 equation:


Simplifying
-6.9(x + -1) + -5.9(x + -2.2) = -13.4

Reorder the terms:
-6.9(-1 + x) + -5.9(x + -2.2) = -13.4
(-1 * -6.9 + x * -6.9) + -5.9(x + -2.2) = -13.4
(6.9 + -6.9x) + -5.9(x + -2.2) = -13.4

Reorder the terms:
6.9 + -6.9x + -5.9(-2.2 + x) = -13.4
6.9 + -6.9x + (-2.2 * -5.9 + x * -5.9) = -13.4
6.9 + -6.9x + (12.98 + -5.9x) = -13.4

Reorder the terms:
6.9 + 12.98 + -6.9x + -5.9x = -13.4

Combine like terms: 6.9 + 12.98 = 19.88
19.88 + -6.9x + -5.9x = -13.4

Combine like terms: -6.9x + -5.9x = -12.8x
19.88 + -12.8x = -13.4

Solving
19.88 + -12.8x = -13.4

Solving for variable 'x'.

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

Add '-19.88' to each side of the equation.
19.88 + -19.88 + -12.8x = -13.4 + -19.88

Combine like terms: 19.88 + -19.88 = 0.00
0.00 + -12.8x = -13.4 + -19.88
-12.8x = -13.4 + -19.88

Combine like terms: -13.4 + -19.88 = -33.28
-12.8x = -33.28

Divide each side by '-12.8'.
x = 2.6

Simplifying
x = 2.6

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