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

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Solution for 5(3x+2)=7x-14 equation:


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

Reorder the terms:
5(2 + 3x) = 7x + -14
(2 * 5 + 3x * 5) = 7x + -14
(10 + 15x) = 7x + -14

Reorder the terms:
10 + 15x = -14 + 7x

Solving
10 + 15x = -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.
10 + 15x + -7x = -14 + 7x + -7x

Combine like terms: 15x + -7x = 8x
10 + 8x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
10 + 8x = -14 + 0
10 + 8x = -14

Add '-10' to each side of the equation.
10 + -10 + 8x = -14 + -10

Combine like terms: 10 + -10 = 0
0 + 8x = -14 + -10
8x = -14 + -10

Combine like terms: -14 + -10 = -24
8x = -24

Divide each side by '8'.
x = -3

Simplifying
x = -3

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