5(2x-3)=2(3x+7)+11

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Solution for 5(2x-3)=2(3x+7)+11 equation:


Simplifying
5(2x + -3) = 2(3x + 7) + 11

Reorder the terms:
5(-3 + 2x) = 2(3x + 7) + 11
(-3 * 5 + 2x * 5) = 2(3x + 7) + 11
(-15 + 10x) = 2(3x + 7) + 11

Reorder the terms:
-15 + 10x = 2(7 + 3x) + 11
-15 + 10x = (7 * 2 + 3x * 2) + 11
-15 + 10x = (14 + 6x) + 11

Reorder the terms:
-15 + 10x = 14 + 11 + 6x

Combine like terms: 14 + 11 = 25
-15 + 10x = 25 + 6x

Solving
-15 + 10x = 25 + 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.
-15 + 10x + -6x = 25 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-15 + 4x = 25 + 6x + -6x

Combine like terms: 6x + -6x = 0
-15 + 4x = 25 + 0
-15 + 4x = 25

Add '15' to each side of the equation.
-15 + 15 + 4x = 25 + 15

Combine like terms: -15 + 15 = 0
0 + 4x = 25 + 15
4x = 25 + 15

Combine like terms: 25 + 15 = 40
4x = 40

Divide each side by '4'.
x = 10

Simplifying
x = 10

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