(4x-7)+(4x-7)+(7x+9)+(7x+9)=532

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Solution for (4x-7)+(4x-7)+(7x+9)+(7x+9)=532 equation:


Simplifying
(4x + -7) + (4x + -7) + (7x + 9) + (7x + 9) = 532

Reorder the terms:
(-7 + 4x) + (4x + -7) + (7x + 9) + (7x + 9) = 532

Remove parenthesis around (-7 + 4x)
-7 + 4x + (4x + -7) + (7x + 9) + (7x + 9) = 532

Reorder the terms:
-7 + 4x + (-7 + 4x) + (7x + 9) + (7x + 9) = 532

Remove parenthesis around (-7 + 4x)
-7 + 4x + -7 + 4x + (7x + 9) + (7x + 9) = 532

Reorder the terms:
-7 + 4x + -7 + 4x + (9 + 7x) + (7x + 9) = 532

Remove parenthesis around (9 + 7x)
-7 + 4x + -7 + 4x + 9 + 7x + (7x + 9) = 532

Reorder the terms:
-7 + 4x + -7 + 4x + 9 + 7x + (9 + 7x) = 532

Remove parenthesis around (9 + 7x)
-7 + 4x + -7 + 4x + 9 + 7x + 9 + 7x = 532

Reorder the terms:
-7 + -7 + 9 + 9 + 4x + 4x + 7x + 7x = 532

Combine like terms: -7 + -7 = -14
-14 + 9 + 9 + 4x + 4x + 7x + 7x = 532

Combine like terms: -14 + 9 = -5
-5 + 9 + 4x + 4x + 7x + 7x = 532

Combine like terms: -5 + 9 = 4
4 + 4x + 4x + 7x + 7x = 532

Combine like terms: 4x + 4x = 8x
4 + 8x + 7x + 7x = 532

Combine like terms: 8x + 7x = 15x
4 + 15x + 7x = 532

Combine like terms: 15x + 7x = 22x
4 + 22x = 532

Solving
4 + 22x = 532

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 22x = 532 + -4

Combine like terms: 4 + -4 = 0
0 + 22x = 532 + -4
22x = 532 + -4

Combine like terms: 532 + -4 = 528
22x = 528

Divide each side by '22'.
x = 24

Simplifying
x = 24

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