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

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


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

Reorder the terms:
6[-4 + x] = 7[x + -4]
[-4 * 6 + x * 6] = 7[x + -4]
[-24 + 6x] = 7[x + -4]

Reorder the terms:
-24 + 6x = 7[-4 + x]
-24 + 6x = [-4 * 7 + x * 7]
-24 + 6x = [-28 + 7x]

Solving
-24 + 6x = -28 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-24 + 6x + -7x = -28 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-24 + -1x = -28 + 7x + -7x

Combine like terms: 7x + -7x = 0
-24 + -1x = -28 + 0
-24 + -1x = -28

Add '24' to each side of the equation.
-24 + 24 + -1x = -28 + 24

Combine like terms: -24 + 24 = 0
0 + -1x = -28 + 24
-1x = -28 + 24

Combine like terms: -28 + 24 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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