2(x-2)-4x=3(x+1)-9x

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Solution for 2(x-2)-4x=3(x+1)-9x equation:


Simplifying
2(x + -2) + -4x = 3(x + 1) + -9x

Reorder the terms:
2(-2 + x) + -4x = 3(x + 1) + -9x
(-2 * 2 + x * 2) + -4x = 3(x + 1) + -9x
(-4 + 2x) + -4x = 3(x + 1) + -9x

Combine like terms: 2x + -4x = -2x
-4 + -2x = 3(x + 1) + -9x

Reorder the terms:
-4 + -2x = 3(1 + x) + -9x
-4 + -2x = (1 * 3 + x * 3) + -9x
-4 + -2x = (3 + 3x) + -9x

Combine like terms: 3x + -9x = -6x
-4 + -2x = 3 + -6x

Solving
-4 + -2x = 3 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-4 + -2x + 6x = 3 + -6x + 6x

Combine like terms: -2x + 6x = 4x
-4 + 4x = 3 + -6x + 6x

Combine like terms: -6x + 6x = 0
-4 + 4x = 3 + 0
-4 + 4x = 3

Add '4' to each side of the equation.
-4 + 4 + 4x = 3 + 4

Combine like terms: -4 + 4 = 0
0 + 4x = 3 + 4
4x = 3 + 4

Combine like terms: 3 + 4 = 7
4x = 7

Divide each side by '4'.
x = 1.75

Simplifying
x = 1.75

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