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

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


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

Reorder the terms:
5x + 3(-5 + 2x) = 7x + -3(x + 2) + 5
5x + (-5 * 3 + 2x * 3) = 7x + -3(x + 2) + 5
5x + (-15 + 6x) = 7x + -3(x + 2) + 5

Reorder the terms:
-15 + 5x + 6x = 7x + -3(x + 2) + 5

Combine like terms: 5x + 6x = 11x
-15 + 11x = 7x + -3(x + 2) + 5

Reorder the terms:
-15 + 11x = 7x + -3(2 + x) + 5
-15 + 11x = 7x + (2 * -3 + x * -3) + 5
-15 + 11x = 7x + (-6 + -3x) + 5

Reorder the terms:
-15 + 11x = -6 + 5 + 7x + -3x

Combine like terms: -6 + 5 = -1
-15 + 11x = -1 + 7x + -3x

Combine like terms: 7x + -3x = 4x
-15 + 11x = -1 + 4x

Solving
-15 + 11x = -1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-15 + 11x + -4x = -1 + 4x + -4x

Combine like terms: 11x + -4x = 7x
-15 + 7x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + 7x = -1 + 0
-15 + 7x = -1

Add '15' to each side of the equation.
-15 + 15 + 7x = -1 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = -1 + 15
7x = -1 + 15

Combine like terms: -1 + 15 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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