5[4x-7]=6[x+2]

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Solution for 5[4x-7]=6[x+2] equation:


Simplifying
5[4x + -7] = 6[x + 2]

Reorder the terms:
5[-7 + 4x] = 6[x + 2]
[-7 * 5 + 4x * 5] = 6[x + 2]
[-35 + 20x] = 6[x + 2]

Reorder the terms:
-35 + 20x = 6[2 + x]
-35 + 20x = [2 * 6 + x * 6]
-35 + 20x = [12 + 6x]

Solving
-35 + 20x = 12 + 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.
-35 + 20x + -6x = 12 + 6x + -6x

Combine like terms: 20x + -6x = 14x
-35 + 14x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-35 + 14x = 12 + 0
-35 + 14x = 12

Add '35' to each side of the equation.
-35 + 35 + 14x = 12 + 35

Combine like terms: -35 + 35 = 0
0 + 14x = 12 + 35
14x = 12 + 35

Combine like terms: 12 + 35 = 47
14x = 47

Divide each side by '14'.
x = 3.357142857

Simplifying
x = 3.357142857

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