-7(x-2)+4(3-6x)=-36

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Solution for -7(x-2)+4(3-6x)=-36 equation:


Simplifying
-7(x + -2) + 4(3 + -6x) = -36

Reorder the terms:
-7(-2 + x) + 4(3 + -6x) = -36
(-2 * -7 + x * -7) + 4(3 + -6x) = -36
(14 + -7x) + 4(3 + -6x) = -36
14 + -7x + (3 * 4 + -6x * 4) = -36
14 + -7x + (12 + -24x) = -36

Reorder the terms:
14 + 12 + -7x + -24x = -36

Combine like terms: 14 + 12 = 26
26 + -7x + -24x = -36

Combine like terms: -7x + -24x = -31x
26 + -31x = -36

Solving
26 + -31x = -36

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 + -31x = -36 + -26

Combine like terms: 26 + -26 = 0
0 + -31x = -36 + -26
-31x = -36 + -26

Combine like terms: -36 + -26 = -62
-31x = -62

Divide each side by '-31'.
x = 2

Simplifying
x = 2

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