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

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


Simplifying
2(x + -2) = 3x + -1(-4x + -5)

Reorder the terms:
2(-2 + x) = 3x + -1(-4x + -5)
(-2 * 2 + x * 2) = 3x + -1(-4x + -5)
(-4 + 2x) = 3x + -1(-4x + -5)

Reorder the terms:
-4 + 2x = 3x + -1(-5 + -4x)
-4 + 2x = 3x + (-5 * -1 + -4x * -1)
-4 + 2x = 3x + (5 + 4x)

Reorder the terms:
-4 + 2x = 5 + 3x + 4x

Combine like terms: 3x + 4x = 7x
-4 + 2x = 5 + 7x

Solving
-4 + 2x = 5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4 + 2x + -7x = 5 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-4 + -5x = 5 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4 + -5x = 5 + 0
-4 + -5x = 5

Add '4' to each side of the equation.
-4 + 4 + -5x = 5 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = 5 + 4
-5x = 5 + 4

Combine like terms: 5 + 4 = 9
-5x = 9

Divide each side by '-5'.
x = -1.8

Simplifying
x = -1.8

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