7(x-6)=2(4x-1)

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Solution for 7(x-6)=2(4x-1) equation:


Simplifying
7(x + -6) = 2(4x + -1)

Reorder the terms:
7(-6 + x) = 2(4x + -1)
(-6 * 7 + x * 7) = 2(4x + -1)
(-42 + 7x) = 2(4x + -1)

Reorder the terms:
-42 + 7x = 2(-1 + 4x)
-42 + 7x = (-1 * 2 + 4x * 2)
-42 + 7x = (-2 + 8x)

Solving
-42 + 7x = -2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-42 + 7x + -8x = -2 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-42 + -1x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
-42 + -1x = -2 + 0
-42 + -1x = -2

Add '42' to each side of the equation.
-42 + 42 + -1x = -2 + 42

Combine like terms: -42 + 42 = 0
0 + -1x = -2 + 42
-1x = -2 + 42

Combine like terms: -2 + 42 = 40
-1x = 40

Divide each side by '-1'.
x = -40

Simplifying
x = -40

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