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

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


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

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

Reorder the terms:
12 + 4x = 6(-10 + x)
12 + 4x = (-10 * 6 + x * 6)
12 + 4x = (-60 + 6x)

Solving
12 + 4x = -60 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + 4x + -6x = -60 + 6x + -6x

Combine like terms: 4x + -6x = -2x
12 + -2x = -60 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -2x = -60 + 0
12 + -2x = -60

Add '-12' to each side of the equation.
12 + -12 + -2x = -60 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -60 + -12
-2x = -60 + -12

Combine like terms: -60 + -12 = -72
-2x = -72

Divide each side by '-2'.
x = 36

Simplifying
x = 36

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