-4.9(x-1)-6.8(x-0.8)=-38.8

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Solution for -4.9(x-1)-6.8(x-0.8)=-38.8 equation: 


Simplifying
-4.9(x + -1) + -6.8(x + -0.8) = -38.8

Reorder the terms:
-4.9(-1 + x) + -6.8(x + -0.8) = -38.8
(-1 * -4.9 + x * -4.9) + -6.8(x + -0.8) = -38.8
(4.9 + -4.9x) + -6.8(x + -0.8) = -38.8

Reorder the terms:
4.9 + -4.9x + -6.8(-0.8 + x) = -38.8
4.9 + -4.9x + (-0.8 * -6.8 + x * -6.8) = -38.8
4.9 + -4.9x + (5.44 + -6.8x) = -38.8

Reorder the terms:
4.9 + 5.44 + -4.9x + -6.8x = -38.8

Combine like terms: 4.9 + 5.44 = 10.34
10.34 + -4.9x + -6.8x = -38.8

Combine like terms: -4.9x + -6.8x = -11.7x
10.34 + -11.7x = -38.8

Solving
10.34 + -11.7x = -38.8

Solving for variable 'x'.

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

Add '-10.34' to each side of the equation.
10.34 + -10.34 + -11.7x = -38.8 + -10.34

Combine like terms: 10.34 + -10.34 = 0.00
0.00 + -11.7x = -38.8 + -10.34
-11.7x = -38.8 + -10.34

Combine like terms: -38.8 + -10.34 = -49.14
-11.7x = -49.14

Divide each side by '-11.7'.
x = 4.2

Simplifying
x = 4.2

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