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

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


Simplifying
7 + 2(2 + -3x) = 7x + 2(2x + -3)
7 + (2 * 2 + -3x * 2) = 7x + 2(2x + -3)
7 + (4 + -6x) = 7x + 2(2x + -3)

Combine like terms: 7 + 4 = 11
11 + -6x = 7x + 2(2x + -3)

Reorder the terms:
11 + -6x = 7x + 2(-3 + 2x)
11 + -6x = 7x + (-3 * 2 + 2x * 2)
11 + -6x = 7x + (-6 + 4x)

Reorder the terms:
11 + -6x = -6 + 7x + 4x

Combine like terms: 7x + 4x = 11x
11 + -6x = -6 + 11x

Solving
11 + -6x = -6 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
11 + -6x + -11x = -6 + 11x + -11x

Combine like terms: -6x + -11x = -17x
11 + -17x = -6 + 11x + -11x

Combine like terms: 11x + -11x = 0
11 + -17x = -6 + 0
11 + -17x = -6

Add '-11' to each side of the equation.
11 + -11 + -17x = -6 + -11

Combine like terms: 11 + -11 = 0
0 + -17x = -6 + -11
-17x = -6 + -11

Combine like terms: -6 + -11 = -17
-17x = -17

Divide each side by '-17'.
x = 1

Simplifying
x = 1

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