3(6-3x-5x)+4(5x+2)=10

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Solution for 3(6-3x-5x)+4(5x+2)=10 equation:


Simplifying
3(6 + -3x + -5x) + 4(5x + 2) = 10

Combine like terms: -3x + -5x = -8x
3(6 + -8x) + 4(5x + 2) = 10
(6 * 3 + -8x * 3) + 4(5x + 2) = 10
(18 + -24x) + 4(5x + 2) = 10

Reorder the terms:
18 + -24x + 4(2 + 5x) = 10
18 + -24x + (2 * 4 + 5x * 4) = 10
18 + -24x + (8 + 20x) = 10

Reorder the terms:
18 + 8 + -24x + 20x = 10

Combine like terms: 18 + 8 = 26
26 + -24x + 20x = 10

Combine like terms: -24x + 20x = -4x
26 + -4x = 10

Solving
26 + -4x = 10

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + -4x = 10 + -26

Combine like terms: 26 + -26 = 0
0 + -4x = 10 + -26
-4x = 10 + -26

Combine like terms: 10 + -26 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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