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))
-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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