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

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


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

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

Reorder the terms:
15 + 5x = 7(-2 + x)
15 + 5x = (-2 * 7 + x * 7)
15 + 5x = (-14 + 7x)

Solving
15 + 5x = -14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
15 + 5x + -7x = -14 + 7x + -7x

Combine like terms: 5x + -7x = -2x
15 + -2x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
15 + -2x = -14 + 0
15 + -2x = -14

Add '-15' to each side of the equation.
15 + -15 + -2x = -14 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = -14 + -15
-2x = -14 + -15

Combine like terms: -14 + -15 = -29
-2x = -29

Divide each side by '-2'.
x = 14.5

Simplifying
x = 14.5

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