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

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


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

Reorder the terms:
2(4 + 3x) = 7(x + -1)
(4 * 2 + 3x * 2) = 7(x + -1)
(8 + 6x) = 7(x + -1)

Reorder the terms:
8 + 6x = 7(-1 + x)
8 + 6x = (-1 * 7 + x * 7)
8 + 6x = (-7 + 7x)

Solving
8 + 6x = -7 + 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.
8 + 6x + -7x = -7 + 7x + -7x

Combine like terms: 6x + -7x = -1x
8 + -1x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + -1x = -7 + 0
8 + -1x = -7

Add '-8' to each side of the equation.
8 + -8 + -1x = -7 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = -7 + -8
-1x = -7 + -8

Combine like terms: -7 + -8 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

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