7(x+2)=3x-5

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Solution for 7(x+2)=3x-5 equation:


Simplifying
7(x + 2) = 3x + -5

Reorder the terms:
7(2 + x) = 3x + -5
(2 * 7 + x * 7) = 3x + -5
(14 + 7x) = 3x + -5

Reorder the terms:
14 + 7x = -5 + 3x

Solving
14 + 7x = -5 + 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 + 7x + -3x = -5 + 3x + -3x

Combine like terms: 7x + -3x = 4x
14 + 4x = -5 + 3x + -3x

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

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

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

Combine like terms: -5 + -14 = -19
4x = -19

Divide each side by '4'.
x = -4.75

Simplifying
x = -4.75

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