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

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


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

Reorder the terms:
5x + -3(7 + 2x) = 3x + -5(2x + -7)
5x + (7 * -3 + 2x * -3) = 3x + -5(2x + -7)
5x + (-21 + -6x) = 3x + -5(2x + -7)

Reorder the terms:
-21 + 5x + -6x = 3x + -5(2x + -7)

Combine like terms: 5x + -6x = -1x
-21 + -1x = 3x + -5(2x + -7)

Reorder the terms:
-21 + -1x = 3x + -5(-7 + 2x)
-21 + -1x = 3x + (-7 * -5 + 2x * -5)
-21 + -1x = 3x + (35 + -10x)

Reorder the terms:
-21 + -1x = 35 + 3x + -10x

Combine like terms: 3x + -10x = -7x
-21 + -1x = 35 + -7x

Solving
-21 + -1x = 35 + -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.
-21 + -1x + 7x = 35 + -7x + 7x

Combine like terms: -1x + 7x = 6x
-21 + 6x = 35 + -7x + 7x

Combine like terms: -7x + 7x = 0
-21 + 6x = 35 + 0
-21 + 6x = 35

Add '21' to each side of the equation.
-21 + 21 + 6x = 35 + 21

Combine like terms: -21 + 21 = 0
0 + 6x = 35 + 21
6x = 35 + 21

Combine like terms: 35 + 21 = 56
6x = 56

Divide each side by '6'.
x = 9.333333333

Simplifying
x = 9.333333333

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