2x-2(-1)=4(x-2)+9

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Solution for 2x-2(-1)=4(x-2)+9 equation: 


Simplifying
2x + -2(-1) = 4(x + -2) + 9

Multiply -2 * -1
2x + 2 = 4(x + -2) + 9

Reorder the terms:
2 + 2x = 4(x + -2) + 9

Reorder the terms:
2 + 2x = 4(-2 + x) + 9
2 + 2x = (-2 * 4 + x * 4) + 9
2 + 2x = (-8 + 4x) + 9

Reorder the terms:
2 + 2x = -8 + 9 + 4x

Combine like terms: -8 + 9 = 1
2 + 2x = 1 + 4x

Solving
2 + 2x = 1 + 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.
2 + 2x + -4x = 1 + 4x + -4x

Combine like terms: 2x + -4x = -2x
2 + -2x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -2x = 1 + 0
2 + -2x = 1

Add '-2' to each side of the equation.
2 + -2 + -2x = 1 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = 1 + -2
-2x = 1 + -2

Combine like terms: 1 + -2 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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