4x-10=-2(x-16)

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Solution for 4x-10=-2(x-16) equation:


Simplifying
4x + -10 = -2(x + -16)

Reorder the terms:
-10 + 4x = -2(x + -16)

Reorder the terms:
-10 + 4x = -2(-16 + x)
-10 + 4x = (-16 * -2 + x * -2)
-10 + 4x = (32 + -2x)

Solving
-10 + 4x = 32 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-10 + 4x + 2x = 32 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-10 + 6x = 32 + -2x + 2x

Combine like terms: -2x + 2x = 0
-10 + 6x = 32 + 0
-10 + 6x = 32

Add '10' to each side of the equation.
-10 + 10 + 6x = 32 + 10

Combine like terms: -10 + 10 = 0
0 + 6x = 32 + 10
6x = 32 + 10

Combine like terms: 32 + 10 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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