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

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


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

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

Reorder the terms:
14 + 8x = -4 + 3x

Solving
14 + 8x = -4 + 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.
14 + 8x + -3x = -4 + 3x + -3x

Combine like terms: 8x + -3x = 5x
14 + 5x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + 5x = -4 + 0
14 + 5x = -4

Add '-14' to each side of the equation.
14 + -14 + 5x = -4 + -14

Combine like terms: 14 + -14 = 0
0 + 5x = -4 + -14
5x = -4 + -14

Combine like terms: -4 + -14 = -18
5x = -18

Divide each side by '5'.
x = -3.6

Simplifying
x = -3.6

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