7-2(4x-5)=-5x+11

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Solution for 7-2(4x-5)=-5x+11 equation:


Simplifying
7 + -2(4x + -5) = -5x + 11

Reorder the terms:
7 + -2(-5 + 4x) = -5x + 11
7 + (-5 * -2 + 4x * -2) = -5x + 11
7 + (10 + -8x) = -5x + 11

Combine like terms: 7 + 10 = 17
17 + -8x = -5x + 11

Reorder the terms:
17 + -8x = 11 + -5x

Solving
17 + -8x = 11 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
17 + -8x + 5x = 11 + -5x + 5x

Combine like terms: -8x + 5x = -3x
17 + -3x = 11 + -5x + 5x

Combine like terms: -5x + 5x = 0
17 + -3x = 11 + 0
17 + -3x = 11

Add '-17' to each side of the equation.
17 + -17 + -3x = 11 + -17

Combine like terms: 17 + -17 = 0
0 + -3x = 11 + -17
-3x = 11 + -17

Combine like terms: 11 + -17 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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