3x-2(x+16)=4x-(x-10)

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Solution for 3x-2(x+16)=4x-(x-10) equation:


Simplifying
3x + -2(x + 16) = 4x + -1(x + -10)

Reorder the terms:
3x + -2(16 + x) = 4x + -1(x + -10)
3x + (16 * -2 + x * -2) = 4x + -1(x + -10)
3x + (-32 + -2x) = 4x + -1(x + -10)

Reorder the terms:
-32 + 3x + -2x = 4x + -1(x + -10)

Combine like terms: 3x + -2x = 1x
-32 + 1x = 4x + -1(x + -10)

Reorder the terms:
-32 + 1x = 4x + -1(-10 + x)
-32 + 1x = 4x + (-10 * -1 + x * -1)
-32 + 1x = 4x + (10 + -1x)

Reorder the terms:
-32 + 1x = 10 + 4x + -1x

Combine like terms: 4x + -1x = 3x
-32 + 1x = 10 + 3x

Solving
-32 + 1x = 10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-32 + 1x + -3x = 10 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-32 + -2x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-32 + -2x = 10 + 0
-32 + -2x = 10

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

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

Combine like terms: 10 + 32 = 42
-2x = 42

Divide each side by '-2'.
x = -21

Simplifying
x = -21

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