x+(x-10)+(x-26)+(x-32)=144

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Solution for x+(x-10)+(x-26)+(x-32)=144 equation:


Simplifying
x + (x + -10) + (x + -26) + (x + -32) = 144

Reorder the terms:
x + (-10 + x) + (x + -26) + (x + -32) = 144

Remove parenthesis around (-10 + x)
x + -10 + x + (x + -26) + (x + -32) = 144

Reorder the terms:
x + -10 + x + (-26 + x) + (x + -32) = 144

Remove parenthesis around (-26 + x)
x + -10 + x + -26 + x + (x + -32) = 144

Reorder the terms:
x + -10 + x + -26 + x + (-32 + x) = 144

Remove parenthesis around (-32 + x)
x + -10 + x + -26 + x + -32 + x = 144

Reorder the terms:
-10 + -26 + -32 + x + x + x + x = 144

Combine like terms: -10 + -26 = -36
-36 + -32 + x + x + x + x = 144

Combine like terms: -36 + -32 = -68
-68 + x + x + x + x = 144

Combine like terms: x + x = 2x
-68 + 2x + x + x = 144

Combine like terms: 2x + x = 3x
-68 + 3x + x = 144

Combine like terms: 3x + x = 4x
-68 + 4x = 144

Solving
-68 + 4x = 144

Solving for variable 'x'.

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

Add '68' to each side of the equation.
-68 + 68 + 4x = 144 + 68

Combine like terms: -68 + 68 = 0
0 + 4x = 144 + 68
4x = 144 + 68

Combine like terms: 144 + 68 = 212
4x = 212

Divide each side by '4'.
x = 53

Simplifying
x = 53

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