200=2(x+1)+2(3x-5)

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Solution for 200=2(x+1)+2(3x-5) equation:


Simplifying
200 = 2(x + 1) + 2(3x + -5)

Reorder the terms:
200 = 2(1 + x) + 2(3x + -5)
200 = (1 * 2 + x * 2) + 2(3x + -5)
200 = (2 + 2x) + 2(3x + -5)

Reorder the terms:
200 = 2 + 2x + 2(-5 + 3x)
200 = 2 + 2x + (-5 * 2 + 3x * 2)
200 = 2 + 2x + (-10 + 6x)

Reorder the terms:
200 = 2 + -10 + 2x + 6x

Combine like terms: 2 + -10 = -8
200 = -8 + 2x + 6x

Combine like terms: 2x + 6x = 8x
200 = -8 + 8x

Solving
200 = -8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
200 + -8x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
200 + -8x = -8 + 0
200 + -8x = -8

Add '-200' to each side of the equation.
200 + -200 + -8x = -8 + -200

Combine like terms: 200 + -200 = 0
0 + -8x = -8 + -200
-8x = -8 + -200

Combine like terms: -8 + -200 = -208
-8x = -208

Divide each side by '-8'.
x = 26

Simplifying
x = 26

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