5(x-2)+4(3-6x)=-36

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Solution for 5(x-2)+4(3-6x)=-36 equation:


Simplifying
5(x + -2) + 4(3 + -6x) = -36

Reorder the terms:
5(-2 + x) + 4(3 + -6x) = -36
(-2 * 5 + x * 5) + 4(3 + -6x) = -36
(-10 + 5x) + 4(3 + -6x) = -36
-10 + 5x + (3 * 4 + -6x * 4) = -36
-10 + 5x + (12 + -24x) = -36

Reorder the terms:
-10 + 12 + 5x + -24x = -36

Combine like terms: -10 + 12 = 2
2 + 5x + -24x = -36

Combine like terms: 5x + -24x = -19x
2 + -19x = -36

Solving
2 + -19x = -36

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -19x = -36 + -2

Combine like terms: 2 + -2 = 0
0 + -19x = -36 + -2
-19x = -36 + -2

Combine like terms: -36 + -2 = -38
-19x = -38

Divide each side by '-19'.
x = 2

Simplifying
x = 2

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