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

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


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

Reorder the terms:
7 + 3(5 + x) = 7(2 + -2x)
7 + (5 * 3 + x * 3) = 7(2 + -2x)
7 + (15 + 3x) = 7(2 + -2x)

Combine like terms: 7 + 15 = 22
22 + 3x = 7(2 + -2x)
22 + 3x = (2 * 7 + -2x * 7)
22 + 3x = (14 + -14x)

Solving
22 + 3x = 14 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
22 + 3x + 14x = 14 + -14x + 14x

Combine like terms: 3x + 14x = 17x
22 + 17x = 14 + -14x + 14x

Combine like terms: -14x + 14x = 0
22 + 17x = 14 + 0
22 + 17x = 14

Add '-22' to each side of the equation.
22 + -22 + 17x = 14 + -22

Combine like terms: 22 + -22 = 0
0 + 17x = 14 + -22
17x = 14 + -22

Combine like terms: 14 + -22 = -8
17x = -8

Divide each side by '17'.
x = -0.4705882353

Simplifying
x = -0.4705882353

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