2(x+5)=3(2x-7)+15

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Solution for 2(x+5)=3(2x-7)+15 equation: 


Simplifying
2(x + 5) = 3(2x + -7) + 15

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

Reorder the terms:
10 + 2x = 3(-7 + 2x) + 15
10 + 2x = (-7 * 3 + 2x * 3) + 15
10 + 2x = (-21 + 6x) + 15

Reorder the terms:
10 + 2x = -21 + 15 + 6x

Combine like terms: -21 + 15 = -6
10 + 2x = -6 + 6x

Solving
10 + 2x = -6 + 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.
10 + 2x + -6x = -6 + 6x + -6x

Combine like terms: 2x + -6x = -4x
10 + -4x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -4x = -6 + 0
10 + -4x = -6

Add '-10' to each side of the equation.
10 + -10 + -4x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = -6 + -10
-4x = -6 + -10

Combine like terms: -6 + -10 = -16
-4x = -16

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

Simplifying
x = 4

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