[7(x-5)-19]-[4(x-6)+10]=

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Solution for [7(x-5)-19]-[4(x-6)+10]= equation:


Simplifying
[7(x + -5) + -19] + -1[4(x + -6) + 10] = 0

Reorder the terms:
[7(-5 + x) + -19] + -1[4(x + -6) + 10] = 0
[(-5 * 7 + x * 7) + -19] + -1[4(x + -6) + 10] = 0
[(-35 + 7x) + -19] + -1[4(x + -6) + 10] = 0

Reorder the terms:
[-35 + -19 + 7x] + -1[4(x + -6) + 10] = 0

Combine like terms: -35 + -19 = -54
[-54 + 7x] + -1[4(x + -6) + 10] = 0

Remove brackets around [-54 + 7x]
-54 + 7x + -1[4(x + -6) + 10] = 0

Reorder the terms:
-54 + 7x + -1[4(-6 + x) + 10] = 0
-54 + 7x + -1[(-6 * 4 + x * 4) + 10] = 0
-54 + 7x + -1[(-24 + 4x) + 10] = 0

Reorder the terms:
-54 + 7x + -1[-24 + 10 + 4x] = 0

Combine like terms: -24 + 10 = -14
-54 + 7x + -1[-14 + 4x] = 0
-54 + 7x + [-14 * -1 + 4x * -1] = 0
-54 + 7x + [14 + -4x] = 0

Reorder the terms:
-54 + 14 + 7x + -4x = 0

Combine like terms: -54 + 14 = -40
-40 + 7x + -4x = 0

Combine like terms: 7x + -4x = 3x
-40 + 3x = 0

Solving
-40 + 3x = 0

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 40 + 3x = 0 + 40

Combine like terms: -40 + 40 = 0
0 + 3x = 0 + 40
3x = 0 + 40

Combine like terms: 0 + 40 = 40
3x = 40

Divide each side by '3'.
x = 13.33333333

Simplifying
x = 13.33333333

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