-3.7(x-5.3)-5.3(7x-2.4)=-53.35

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Solution for -3.7(x-5.3)-5.3(7x-2.4)=-53.35 equation: 


Simplifying
-3.7(x + -5.3) + -5.3(7x + -2.4) = -53.35

Reorder the terms:
-3.7(-5.3 + x) + -5.3(7x + -2.4) = -53.35
(-5.3 * -3.7 + x * -3.7) + -5.3(7x + -2.4) = -53.35
(19.61 + -3.7x) + -5.3(7x + -2.4) = -53.35

Reorder the terms:
19.61 + -3.7x + -5.3(-2.4 + 7x) = -53.35
19.61 + -3.7x + (-2.4 * -5.3 + 7x * -5.3) = -53.35
19.61 + -3.7x + (12.72 + -37.1x) = -53.35

Reorder the terms:
19.61 + 12.72 + -3.7x + -37.1x = -53.35

Combine like terms: 19.61 + 12.72 = 32.33
32.33 + -3.7x + -37.1x = -53.35

Combine like terms: -3.7x + -37.1x = -40.8x
32.33 + -40.8x = -53.35

Solving
32.33 + -40.8x = -53.35

Solving for variable 'x'.

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

Add '-32.33' to each side of the equation.
32.33 + -32.33 + -40.8x = -53.35 + -32.33

Combine like terms: 32.33 + -32.33 = 0.00
0.00 + -40.8x = -53.35 + -32.33
-40.8x = -53.35 + -32.33

Combine like terms: -53.35 + -32.33 = -85.68
-40.8x = -85.68

Divide each side by '-40.8'.
x = 2.1

Simplifying
x = 2.1

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