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

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


Simplifying
7x + -3(2x + 5) = -1(x + 3) + 6

Reorder the terms:
7x + -3(5 + 2x) = -1(x + 3) + 6
7x + (5 * -3 + 2x * -3) = -1(x + 3) + 6
7x + (-15 + -6x) = -1(x + 3) + 6

Reorder the terms:
-15 + 7x + -6x = -1(x + 3) + 6

Combine like terms: 7x + -6x = 1x
-15 + 1x = -1(x + 3) + 6

Reorder the terms:
-15 + 1x = -1(3 + x) + 6
-15 + 1x = (3 * -1 + x * -1) + 6
-15 + 1x = (-3 + -1x) + 6

Reorder the terms:
-15 + 1x = -3 + 6 + -1x

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

Solving
-15 + 1x = 3 + -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.
-15 + 1x + x = 3 + -1x + x

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

Combine like terms: -1x + x = 0
-15 + 2x = 3 + 0
-15 + 2x = 3

Add '15' to each side of the equation.
-15 + 15 + 2x = 3 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = 3 + 15
2x = 3 + 15

Combine like terms: 3 + 15 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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