[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 = 16
[16 + 7x] + -1[4(x + -6) + 10] = 0

Remove brackets around [16 + 7x]
16 + 7x + -1[4(x + -6) + 10] = 0

Reorder the terms:
16 + 7x + -1[4(-6 + x) + 10] = 0
16 + 7x + -1[(-6 * 4 + x * 4) + 10] = 0
16 + 7x + -1[(-24 + 4x) + 10] = 0

Reorder the terms:
16 + 7x + -1[-24 + 10 + 4x] = 0

Combine like terms: -24 + 10 = -14
16 + 7x + -1[-14 + 4x] = 0
16 + 7x + [-14 * -1 + 4x * -1] = 0
16 + 7x + [14 + -4x] = 0

Reorder the terms:
16 + 14 + 7x + -4x = 0

Combine like terms: 16 + 14 = 30
30 + 7x + -4x = 0

Combine like terms: 7x + -4x = 3x
30 + 3x = 0

Solving
30 + 3x = 0

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 3x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + 3x = 0 + -30
3x = 0 + -30

Combine like terms: 0 + -30 = -30
3x = -30

Divide each side by '3'.
x = -10

Simplifying
x = -10

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