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

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


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

Reorder the terms:
-11 + 7x = 4(x + -5) + 5

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

Reorder the terms:
-11 + 7x = -20 + 5 + 4x

Combine like terms: -20 + 5 = -15
-11 + 7x = -15 + 4x

Solving
-11 + 7x = -15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-11 + 7x + -4x = -15 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-11 + 3x = -15 + 4x + -4x

Combine like terms: 4x + -4x = 0
-11 + 3x = -15 + 0
-11 + 3x = -15

Add '11' to each side of the equation.
-11 + 11 + 3x = -15 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = -15 + 11
3x = -15 + 11

Combine like terms: -15 + 11 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

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