2(x+3)-5x+5=-7x+21

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Solution for 2(x+3)-5x+5=-7x+21 equation:


Simplifying
2(x + 3) + -5x + 5 = -7x + 21

Reorder the terms:
2(3 + x) + -5x + 5 = -7x + 21
(3 * 2 + x * 2) + -5x + 5 = -7x + 21
(6 + 2x) + -5x + 5 = -7x + 21

Reorder the terms:
6 + 5 + 2x + -5x = -7x + 21

Combine like terms: 6 + 5 = 11
11 + 2x + -5x = -7x + 21

Combine like terms: 2x + -5x = -3x
11 + -3x = -7x + 21

Reorder the terms:
11 + -3x = 21 + -7x

Solving
11 + -3x = 21 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
11 + -3x + 7x = 21 + -7x + 7x

Combine like terms: -3x + 7x = 4x
11 + 4x = 21 + -7x + 7x

Combine like terms: -7x + 7x = 0
11 + 4x = 21 + 0
11 + 4x = 21

Add '-11' to each side of the equation.
11 + -11 + 4x = 21 + -11

Combine like terms: 11 + -11 = 0
0 + 4x = 21 + -11
4x = 21 + -11

Combine like terms: 21 + -11 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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