2x(3-2)+7-2(x+3x)+10+2x=-11

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Solution for 2x(3-2)+7-2(x+3x)+10+2x=-11 equation:


Simplifying
2x(3 + -2) + 7 + -2(x + 3x) + 10 + 2x = -11

Combine like terms: 3 + -2 = 1
2x(1) + 7 + -2(x + 3x) + 10 + 2x = -11

Reorder the terms for easier multiplication:
2 * 1x + 7 + -2(x + 3x) + 10 + 2x = -11

Multiply 2 * 1
2x + 7 + -2(x + 3x) + 10 + 2x = -11

Combine like terms: x + 3x = 4x
2x + 7 + -2(4x) + 10 + 2x = -11

Remove parenthesis around (4x)
2x + 7 + -2 * 4x + 10 + 2x = -11

Multiply -2 * 4
2x + 7 + -8x + 10 + 2x = -11

Reorder the terms:
7 + 10 + 2x + -8x + 2x = -11

Combine like terms: 7 + 10 = 17
17 + 2x + -8x + 2x = -11

Combine like terms: 2x + -8x = -6x
17 + -6x + 2x = -11

Combine like terms: -6x + 2x = -4x
17 + -4x = -11

Solving
17 + -4x = -11

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + -4x = -11 + -17

Combine like terms: 17 + -17 = 0
0 + -4x = -11 + -17
-4x = -11 + -17

Combine like terms: -11 + -17 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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