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

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


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

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

Reorder the terms:
-6 + -10 + 2x = 4(x + -6)

Combine like terms: -6 + -10 = -16
-16 + 2x = 4(x + -6)

Reorder the terms:
-16 + 2x = 4(-6 + x)
-16 + 2x = (-6 * 4 + x * 4)
-16 + 2x = (-24 + 4x)

Solving
-16 + 2x = -24 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-16 + 2x + -4x = -24 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-16 + -2x = -24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + -2x = -24 + 0
-16 + -2x = -24

Add '16' to each side of the equation.
-16 + 16 + -2x = -24 + 16

Combine like terms: -16 + 16 = 0
0 + -2x = -24 + 16
-2x = -24 + 16

Combine like terms: -24 + 16 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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