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

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


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

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

Reorder the terms:
14 + 2x = 3(-5 + 2x)
14 + 2x = (-5 * 3 + 2x * 3)
14 + 2x = (-15 + 6x)

Solving
14 + 2x = -15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
14 + 2x + -6x = -15 + 6x + -6x

Combine like terms: 2x + -6x = -4x
14 + -4x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
14 + -4x = -15 + 0
14 + -4x = -15

Add '-14' to each side of the equation.
14 + -14 + -4x = -15 + -14

Combine like terms: 14 + -14 = 0
0 + -4x = -15 + -14
-4x = -15 + -14

Combine like terms: -15 + -14 = -29
-4x = -29

Divide each side by '-4'.
x = 7.25

Simplifying
x = 7.25

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