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

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


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

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

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

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

Reorder the terms:
6 + 4x = -3 + 7 + 6x

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

Solving
6 + 4x = 4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + 4x + -6x = 4 + 6x + -6x

Combine like terms: 4x + -6x = -2x
6 + -2x = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -2x = 4 + 0
6 + -2x = 4

Add '-6' to each side of the equation.
6 + -6 + -2x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 4 + -6
-2x = 4 + -6

Combine like terms: 4 + -6 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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