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

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


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

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

Combine like terms: 7x + -2x = 5x
6 + 5x = 5(3 + -2x) + 6
6 + 5x = (3 * 5 + -2x * 5) + 6
6 + 5x = (15 + -10x) + 6

Reorder the terms:
6 + 5x = 15 + 6 + -10x

Combine like terms: 15 + 6 = 21
6 + 5x = 21 + -10x

Solving
6 + 5x = 21 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
6 + 5x + 10x = 21 + -10x + 10x

Combine like terms: 5x + 10x = 15x
6 + 15x = 21 + -10x + 10x

Combine like terms: -10x + 10x = 0
6 + 15x = 21 + 0
6 + 15x = 21

Add '-6' to each side of the equation.
6 + -6 + 15x = 21 + -6

Combine like terms: 6 + -6 = 0
0 + 15x = 21 + -6
15x = 21 + -6

Combine like terms: 21 + -6 = 15
15x = 15

Divide each side by '15'.
x = 1

Simplifying
x = 1

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