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

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


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

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

Reorder the terms:
-3 + 7x = 2(5 + 3x) + -7
-3 + 7x = (5 * 2 + 3x * 2) + -7
-3 + 7x = (10 + 6x) + -7

Reorder the terms:
-3 + 7x = 10 + -7 + 6x

Combine like terms: 10 + -7 = 3
-3 + 7x = 3 + 6x

Solving
-3 + 7x = 3 + 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.
-3 + 7x + -6x = 3 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-3 + 1x = 3 + 0
-3 + 1x = 3

Add '3' to each side of the equation.
-3 + 3 + 1x = 3 + 3

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

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

Divide each side by '1'.
x = 6

Simplifying
x = 6

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