4(2x-5)-7=11x-1

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Solution for 4(2x-5)-7=11x-1 equation:


Simplifying
4(2x + -5) + -7 = 11x + -1

Reorder the terms:
4(-5 + 2x) + -7 = 11x + -1
(-5 * 4 + 2x * 4) + -7 = 11x + -1
(-20 + 8x) + -7 = 11x + -1

Reorder the terms:
-20 + -7 + 8x = 11x + -1

Combine like terms: -20 + -7 = -27
-27 + 8x = 11x + -1

Reorder the terms:
-27 + 8x = -1 + 11x

Solving
-27 + 8x = -1 + 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.
-27 + 8x + -11x = -1 + 11x + -11x

Combine like terms: 8x + -11x = -3x
-27 + -3x = -1 + 11x + -11x

Combine like terms: 11x + -11x = 0
-27 + -3x = -1 + 0
-27 + -3x = -1

Add '27' to each side of the equation.
-27 + 27 + -3x = -1 + 27

Combine like terms: -27 + 27 = 0
0 + -3x = -1 + 27
-3x = -1 + 27

Combine like terms: -1 + 27 = 26
-3x = 26

Divide each side by '-3'.
x = -8.666666667

Simplifying
x = -8.666666667

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