7(2x-1)+3x=-3(x+2)+9

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Solution for 7(2x-1)+3x=-3(x+2)+9 equation:


Simplifying
7(2x + -1) + 3x = -3(x + 2) + 9

Reorder the terms:
7(-1 + 2x) + 3x = -3(x + 2) + 9
(-1 * 7 + 2x * 7) + 3x = -3(x + 2) + 9
(-7 + 14x) + 3x = -3(x + 2) + 9

Combine like terms: 14x + 3x = 17x
-7 + 17x = -3(x + 2) + 9

Reorder the terms:
-7 + 17x = -3(2 + x) + 9
-7 + 17x = (2 * -3 + x * -3) + 9
-7 + 17x = (-6 + -3x) + 9

Reorder the terms:
-7 + 17x = -6 + 9 + -3x

Combine like terms: -6 + 9 = 3
-7 + 17x = 3 + -3x

Solving
-7 + 17x = 3 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-7 + 17x + 3x = 3 + -3x + 3x

Combine like terms: 17x + 3x = 20x
-7 + 20x = 3 + -3x + 3x

Combine like terms: -3x + 3x = 0
-7 + 20x = 3 + 0
-7 + 20x = 3

Add '7' to each side of the equation.
-7 + 7 + 20x = 3 + 7

Combine like terms: -7 + 7 = 0
0 + 20x = 3 + 7
20x = 3 + 7

Combine like terms: 3 + 7 = 10
20x = 10

Divide each side by '20'.
x = 0.5

Simplifying
x = 0.5

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