6(2x+8)=7(2x+4)

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Solution for 6(2x+8)=7(2x+4) equation:


Simplifying
6(2x + 8) = 7(2x + 4)

Reorder the terms:
6(8 + 2x) = 7(2x + 4)
(8 * 6 + 2x * 6) = 7(2x + 4)
(48 + 12x) = 7(2x + 4)

Reorder the terms:
48 + 12x = 7(4 + 2x)
48 + 12x = (4 * 7 + 2x * 7)
48 + 12x = (28 + 14x)

Solving
48 + 12x = 28 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
48 + 12x + -14x = 28 + 14x + -14x

Combine like terms: 12x + -14x = -2x
48 + -2x = 28 + 14x + -14x

Combine like terms: 14x + -14x = 0
48 + -2x = 28 + 0
48 + -2x = 28

Add '-48' to each side of the equation.
48 + -48 + -2x = 28 + -48

Combine like terms: 48 + -48 = 0
0 + -2x = 28 + -48
-2x = 28 + -48

Combine like terms: 28 + -48 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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