2(2x-6)=7(4x-3)

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Solution for 2(2x-6)=7(4x-3) equation:


Simplifying
2(2x + -6) = 7(4x + -3)

Reorder the terms:
2(-6 + 2x) = 7(4x + -3)
(-6 * 2 + 2x * 2) = 7(4x + -3)
(-12 + 4x) = 7(4x + -3)

Reorder the terms:
-12 + 4x = 7(-3 + 4x)
-12 + 4x = (-3 * 7 + 4x * 7)
-12 + 4x = (-21 + 28x)

Solving
-12 + 4x = -21 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
-12 + 4x + -28x = -21 + 28x + -28x

Combine like terms: 4x + -28x = -24x
-12 + -24x = -21 + 28x + -28x

Combine like terms: 28x + -28x = 0
-12 + -24x = -21 + 0
-12 + -24x = -21

Add '12' to each side of the equation.
-12 + 12 + -24x = -21 + 12

Combine like terms: -12 + 12 = 0
0 + -24x = -21 + 12
-24x = -21 + 12

Combine like terms: -21 + 12 = -9
-24x = -9

Divide each side by '-24'.
x = 0.375

Simplifying
x = 0.375

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