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

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


Simplifying
7(2 + x) = 5(3x + -3)
(2 * 7 + x * 7) = 5(3x + -3)
(14 + 7x) = 5(3x + -3)

Reorder the terms:
14 + 7x = 5(-3 + 3x)
14 + 7x = (-3 * 5 + 3x * 5)
14 + 7x = (-15 + 15x)

Solving
14 + 7x = -15 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
14 + 7x + -15x = -15 + 15x + -15x

Combine like terms: 7x + -15x = -8x
14 + -8x = -15 + 15x + -15x

Combine like terms: 15x + -15x = 0
14 + -8x = -15 + 0
14 + -8x = -15

Add '-14' to each side of the equation.
14 + -14 + -8x = -15 + -14

Combine like terms: 14 + -14 = 0
0 + -8x = -15 + -14
-8x = -15 + -14

Combine like terms: -15 + -14 = -29
-8x = -29

Divide each side by '-8'.
x = 3.625

Simplifying
x = 3.625

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