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

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


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

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

Reorder the terms:
-6 + 2x = 4(-3 + 4x)
-6 + 2x = (-3 * 4 + 4x * 4)
-6 + 2x = (-12 + 16x)

Solving
-6 + 2x = -12 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-6 + 2x + -16x = -12 + 16x + -16x

Combine like terms: 2x + -16x = -14x
-6 + -14x = -12 + 16x + -16x

Combine like terms: 16x + -16x = 0
-6 + -14x = -12 + 0
-6 + -14x = -12

Add '6' to each side of the equation.
-6 + 6 + -14x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -14x = -12 + 6
-14x = -12 + 6

Combine like terms: -12 + 6 = -6
-14x = -6

Divide each side by '-14'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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