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

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


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

Reorder the terms:
4(7 + 2x) = 3(x + -1)
(7 * 4 + 2x * 4) = 3(x + -1)
(28 + 8x) = 3(x + -1)

Reorder the terms:
28 + 8x = 3(-1 + x)
28 + 8x = (-1 * 3 + x * 3)
28 + 8x = (-3 + 3x)

Solving
28 + 8x = -3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
28 + 8x + -3x = -3 + 3x + -3x

Combine like terms: 8x + -3x = 5x
28 + 5x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
28 + 5x = -3 + 0
28 + 5x = -3

Add '-28' to each side of the equation.
28 + -28 + 5x = -3 + -28

Combine like terms: 28 + -28 = 0
0 + 5x = -3 + -28
5x = -3 + -28

Combine like terms: -3 + -28 = -31
5x = -31

Divide each side by '5'.
x = -6.2

Simplifying
x = -6.2

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