(4y+11z)+(3x+22)+(x+y)+139=360

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Solution for (4y+11z)+(3x+22)+(x+y)+139=360 equation:


Simplifying
(4y + 11z) + (3x + 22) + (x + y) + 139 = 360

Remove parenthesis around (4y + 11z)
4y + 11z + (3x + 22) + (x + y) + 139 = 360

Reorder the terms:
4y + 11z + (22 + 3x) + (x + y) + 139 = 360

Remove parenthesis around (22 + 3x)
4y + 11z + 22 + 3x + (x + y) + 139 = 360

Remove parenthesis around (x + y)
4y + 11z + 22 + 3x + x + y + 139 = 360

Reorder the terms:
22 + 139 + 3x + x + 4y + y + 11z = 360

Combine like terms: 22 + 139 = 161
161 + 3x + x + 4y + y + 11z = 360

Combine like terms: 3x + x = 4x
161 + 4x + 4y + y + 11z = 360

Combine like terms: 4y + y = 5y
161 + 4x + 5y + 11z = 360

Solving
161 + 4x + 5y + 11z = 360

Solving for variable 'x'.

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

Add '-161' to each side of the equation.
161 + 4x + 5y + -161 + 11z = 360 + -161

Reorder the terms:
161 + -161 + 4x + 5y + 11z = 360 + -161

Combine like terms: 161 + -161 = 0
0 + 4x + 5y + 11z = 360 + -161
4x + 5y + 11z = 360 + -161

Combine like terms: 360 + -161 = 199
4x + 5y + 11z = 199

Add '-5y' to each side of the equation.
4x + 5y + -5y + 11z = 199 + -5y

Combine like terms: 5y + -5y = 0
4x + 0 + 11z = 199 + -5y
4x + 11z = 199 + -5y

Add '-11z' to each side of the equation.
4x + 11z + -11z = 199 + -5y + -11z

Combine like terms: 11z + -11z = 0
4x + 0 = 199 + -5y + -11z
4x = 199 + -5y + -11z

Divide each side by '4'.
x = 49.75 + -1.25y + -2.75z

Simplifying
x = 49.75 + -1.25y + -2.75z

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