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

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


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

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

Reorder the terms:
6 + -5 + 7x + -3x = 3x + 7

Combine like terms: 6 + -5 = 1
1 + 7x + -3x = 3x + 7

Combine like terms: 7x + -3x = 4x
1 + 4x = 3x + 7

Reorder the terms:
1 + 4x = 7 + 3x

Solving
1 + 4x = 7 + 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.
1 + 4x + -3x = 7 + 3x + -3x

Combine like terms: 4x + -3x = 1x
1 + 1x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + 1x = 7 + 0
1 + 1x = 7

Add '-1' to each side of the equation.
1 + -1 + 1x = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 7 + -1
1x = 7 + -1

Combine like terms: 7 + -1 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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