4(x+6)=10x-36

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Solution for 4(x+6)=10x-36 equation:


Simplifying
4(x + 6) = 10x + -36

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

Reorder the terms:
24 + 4x = -36 + 10x

Solving
24 + 4x = -36 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
24 + 4x + -10x = -36 + 10x + -10x

Combine like terms: 4x + -10x = -6x
24 + -6x = -36 + 10x + -10x

Combine like terms: 10x + -10x = 0
24 + -6x = -36 + 0
24 + -6x = -36

Add '-24' to each side of the equation.
24 + -24 + -6x = -36 + -24

Combine like terms: 24 + -24 = 0
0 + -6x = -36 + -24
-6x = -36 + -24

Combine like terms: -36 + -24 = -60
-6x = -60

Divide each side by '-6'.
x = 10

Simplifying
x = 10

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