6(4x-1)+2=-7(4x-1)

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Solution for 6(4x-1)+2=-7(4x-1) equation:


Simplifying
6(4x + -1) + 2 = -7(4x + -1)

Reorder the terms:
6(-1 + 4x) + 2 = -7(4x + -1)
(-1 * 6 + 4x * 6) + 2 = -7(4x + -1)
(-6 + 24x) + 2 = -7(4x + -1)

Reorder the terms:
-6 + 2 + 24x = -7(4x + -1)

Combine like terms: -6 + 2 = -4
-4 + 24x = -7(4x + -1)

Reorder the terms:
-4 + 24x = -7(-1 + 4x)
-4 + 24x = (-1 * -7 + 4x * -7)
-4 + 24x = (7 + -28x)

Solving
-4 + 24x = 7 + -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.
-4 + 24x + 28x = 7 + -28x + 28x

Combine like terms: 24x + 28x = 52x
-4 + 52x = 7 + -28x + 28x

Combine like terms: -28x + 28x = 0
-4 + 52x = 7 + 0
-4 + 52x = 7

Add '4' to each side of the equation.
-4 + 4 + 52x = 7 + 4

Combine like terms: -4 + 4 = 0
0 + 52x = 7 + 4
52x = 7 + 4

Combine like terms: 7 + 4 = 11
52x = 11

Divide each side by '52'.
x = 0.2115384615

Simplifying
x = 0.2115384615

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