7(x+4)=2x-3

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


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

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

Reorder the terms:
28 + 7x = -3 + 2x

Solving
28 + 7x = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
28 + 7x + -2x = -3 + 2x + -2x

Combine like terms: 7x + -2x = 5x
28 + 5x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 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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