2(4x-7)=3(2x-1)

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Solution for 2(4x-7)=3(2x-1) equation:


Simplifying
2(4x + -7) = 3(2x + -1)

Reorder the terms:
2(-7 + 4x) = 3(2x + -1)
(-7 * 2 + 4x * 2) = 3(2x + -1)
(-14 + 8x) = 3(2x + -1)

Reorder the terms:
-14 + 8x = 3(-1 + 2x)
-14 + 8x = (-1 * 3 + 2x * 3)
-14 + 8x = (-3 + 6x)

Solving
-14 + 8x = -3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-14 + 8x + -6x = -3 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-14 + 2x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
-14 + 2x = -3 + 0
-14 + 2x = -3

Add '14' to each side of the equation.
-14 + 14 + 2x = -3 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = -3 + 14
2x = -3 + 14

Combine like terms: -3 + 14 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5

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