4(x+7)=2x-5

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Solution for 4(x+7)=2x-5 equation:


Simplifying
4(x + 7) = 2x + -5

Reorder the terms:
4(7 + x) = 2x + -5
(7 * 4 + x * 4) = 2x + -5
(28 + 4x) = 2x + -5

Reorder the terms:
28 + 4x = -5 + 2x

Solving
28 + 4x = -5 + 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 + 4x + -2x = -5 + 2x + -2x

Combine like terms: 4x + -2x = 2x
28 + 2x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
28 + 2x = -5 + 0
28 + 2x = -5

Add '-28' to each side of the equation.
28 + -28 + 2x = -5 + -28

Combine like terms: 28 + -28 = 0
0 + 2x = -5 + -28
2x = -5 + -28

Combine like terms: -5 + -28 = -33
2x = -33

Divide each side by '2'.
x = -16.5

Simplifying
x = -16.5

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