7(2x-3)+6x=2x-3(5+x)

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Solution for 7(2x-3)+6x=2x-3(5+x) equation:


Simplifying
7(2x + -3) + 6x = 2x + -3(5 + x)

Reorder the terms:
7(-3 + 2x) + 6x = 2x + -3(5 + x)
(-3 * 7 + 2x * 7) + 6x = 2x + -3(5 + x)
(-21 + 14x) + 6x = 2x + -3(5 + x)

Combine like terms: 14x + 6x = 20x
-21 + 20x = 2x + -3(5 + x)
-21 + 20x = 2x + (5 * -3 + x * -3)
-21 + 20x = 2x + (-15 + -3x)

Reorder the terms:
-21 + 20x = -15 + 2x + -3x

Combine like terms: 2x + -3x = -1x
-21 + 20x = -15 + -1x

Solving
-21 + 20x = -15 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-21 + 20x + x = -15 + -1x + x

Combine like terms: 20x + x = 21x
-21 + 21x = -15 + -1x + x

Combine like terms: -1x + x = 0
-21 + 21x = -15 + 0
-21 + 21x = -15

Add '21' to each side of the equation.
-21 + 21 + 21x = -15 + 21

Combine like terms: -21 + 21 = 0
0 + 21x = -15 + 21
21x = -15 + 21

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

Divide each side by '21'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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