2(2x-9)-4=2(x-3)-6

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Solution for 2(2x-9)-4=2(x-3)-6 equation:


Simplifying
2(2x + -9) + -4 = 2(x + -3) + -6

Reorder the terms:
2(-9 + 2x) + -4 = 2(x + -3) + -6
(-9 * 2 + 2x * 2) + -4 = 2(x + -3) + -6
(-18 + 4x) + -4 = 2(x + -3) + -6

Reorder the terms:
-18 + -4 + 4x = 2(x + -3) + -6

Combine like terms: -18 + -4 = -22
-22 + 4x = 2(x + -3) + -6

Reorder the terms:
-22 + 4x = 2(-3 + x) + -6
-22 + 4x = (-3 * 2 + x * 2) + -6
-22 + 4x = (-6 + 2x) + -6

Reorder the terms:
-22 + 4x = -6 + -6 + 2x

Combine like terms: -6 + -6 = -12
-22 + 4x = -12 + 2x

Solving
-22 + 4x = -12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-22 + 4x + -2x = -12 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-22 + 2x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-22 + 2x = -12 + 0
-22 + 2x = -12

Add '22' to each side of the equation.
-22 + 22 + 2x = -12 + 22

Combine like terms: -22 + 22 = 0
0 + 2x = -12 + 22
2x = -12 + 22

Combine like terms: -12 + 22 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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