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

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


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

Reorder the terms:
7(-6 + 4x) = 4(4x + -2)
(-6 * 7 + 4x * 7) = 4(4x + -2)
(-42 + 28x) = 4(4x + -2)

Reorder the terms:
-42 + 28x = 4(-2 + 4x)
-42 + 28x = (-2 * 4 + 4x * 4)
-42 + 28x = (-8 + 16x)

Solving
-42 + 28x = -8 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-42 + 28x + -16x = -8 + 16x + -16x

Combine like terms: 28x + -16x = 12x
-42 + 12x = -8 + 16x + -16x

Combine like terms: 16x + -16x = 0
-42 + 12x = -8 + 0
-42 + 12x = -8

Add '42' to each side of the equation.
-42 + 42 + 12x = -8 + 42

Combine like terms: -42 + 42 = 0
0 + 12x = -8 + 42
12x = -8 + 42

Combine like terms: -8 + 42 = 34
12x = 34

Divide each side by '12'.
x = 2.833333333

Simplifying
x = 2.833333333

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