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

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


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

Remove parenthesis around (-1x)
6 + 6x = 7 * -1x + 3x + -3

Multiply 7 * -1
6 + 6x = -7x + 3x + -3

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

Combine like terms: -7x + 3x = -4x
6 + 6x = -3 + -4x

Solving
6 + 6x = -3 + -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.
6 + 6x + 4x = -3 + -4x + 4x

Combine like terms: 6x + 4x = 10x
6 + 10x = -3 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 10x = -3 + 0
6 + 10x = -3

Add '-6' to each side of the equation.
6 + -6 + 10x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = -3 + -6
10x = -3 + -6

Combine like terms: -3 + -6 = -9
10x = -9

Divide each side by '10'.
x = -0.9

Simplifying
x = -0.9

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