2x+2(3x-8)=4(x-5)

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Solution for 2x+2(3x-8)=4(x-5) equation:


Simplifying
2x + 2(3x + -8) = 4(x + -5)

Reorder the terms:
2x + 2(-8 + 3x) = 4(x + -5)
2x + (-8 * 2 + 3x * 2) = 4(x + -5)
2x + (-16 + 6x) = 4(x + -5)

Reorder the terms:
-16 + 2x + 6x = 4(x + -5)

Combine like terms: 2x + 6x = 8x
-16 + 8x = 4(x + -5)

Reorder the terms:
-16 + 8x = 4(-5 + x)
-16 + 8x = (-5 * 4 + x * 4)
-16 + 8x = (-20 + 4x)

Solving
-16 + 8x = -20 + 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 + 8x + -4x = -20 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-16 + 4x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + 4x = -20 + 0
-16 + 4x = -20

Add '16' to each side of the equation.
-16 + 16 + 4x = -20 + 16

Combine like terms: -16 + 16 = 0
0 + 4x = -20 + 16
4x = -20 + 16

Combine like terms: -20 + 16 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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