-6.3(x-5)-4.6(x-0.7)=-17.6

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Solution for -6.3(x-5)-4.6(x-0.7)=-17.6 equation: 


Simplifying
-6.3(x + -5) + -4.6(x + -0.7) = -17.6

Reorder the terms:
-6.3(-5 + x) + -4.6(x + -0.7) = -17.6
(-5 * -6.3 + x * -6.3) + -4.6(x + -0.7) = -17.6
(31.5 + -6.3x) + -4.6(x + -0.7) = -17.6

Reorder the terms:
31.5 + -6.3x + -4.6(-0.7 + x) = -17.6
31.5 + -6.3x + (-0.7 * -4.6 + x * -4.6) = -17.6
31.5 + -6.3x + (3.22 + -4.6x) = -17.6

Reorder the terms:
31.5 + 3.22 + -6.3x + -4.6x = -17.6

Combine like terms: 31.5 + 3.22 = 34.72
34.72 + -6.3x + -4.6x = -17.6

Combine like terms: -6.3x + -4.6x = -10.9x
34.72 + -10.9x = -17.6

Solving
34.72 + -10.9x = -17.6

Solving for variable 'x'.

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

Add '-34.72' to each side of the equation.
34.72 + -34.72 + -10.9x = -17.6 + -34.72

Combine like terms: 34.72 + -34.72 = 0.00
0.00 + -10.9x = -17.6 + -34.72
-10.9x = -17.6 + -34.72

Combine like terms: -17.6 + -34.72 = -52.32
-10.9x = -52.32

Divide each side by '-10.9'.
x = 4.8

Simplifying
x = 4.8

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