8(5x-2)-3(5x-2)=-5

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Solution for 8(5x-2)-3(5x-2)=-5 equation:


Simplifying
8(5x + -2) + -3(5x + -2) = -5

Reorder the terms:
8(-2 + 5x) + -3(5x + -2) = -5
(-2 * 8 + 5x * 8) + -3(5x + -2) = -5
(-16 + 40x) + -3(5x + -2) = -5

Reorder the terms:
-16 + 40x + -3(-2 + 5x) = -5
-16 + 40x + (-2 * -3 + 5x * -3) = -5
-16 + 40x + (6 + -15x) = -5

Reorder the terms:
-16 + 6 + 40x + -15x = -5

Combine like terms: -16 + 6 = -10
-10 + 40x + -15x = -5

Combine like terms: 40x + -15x = 25x
-10 + 25x = -5

Solving
-10 + 25x = -5

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 25x = -5 + 10

Combine like terms: -10 + 10 = 0
0 + 25x = -5 + 10
25x = -5 + 10

Combine like terms: -5 + 10 = 5
25x = 5

Divide each side by '25'.
x = 0.2

Simplifying
x = 0.2

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