7[x-5]-4[x-6]=5

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Solution for 7[x-5]-4[x-6]=5 equation: 


Simplifying
7[x + -5] + -4[x + -6] = 5

Reorder the terms:
7[-5 + x] + -4[x + -6] = 5
[-5 * 7 + x * 7] + -4[x + -6] = 5
[-35 + 7x] + -4[x + -6] = 5

Reorder the terms:
-35 + 7x + -4[-6 + x] = 5
-35 + 7x + [-6 * -4 + x * -4] = 5
-35 + 7x + [24 + -4x] = 5

Reorder the terms:
-35 + 24 + 7x + -4x = 5

Combine like terms: -35 + 24 = -11
-11 + 7x + -4x = 5

Combine like terms: 7x + -4x = 3x
-11 + 3x = 5

Solving
-11 + 3x = 5

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 3x = 5 + 11

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

Combine like terms: 5 + 11 = 16
3x = 16

Divide each side by '3'.
x = 5.333333333

Simplifying
x = 5.333333333

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