2x+y+130=3x+y+160

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Solution for 2x+y+130=3x+y+160 equation:


Simplifying
2x + y + 130 = 3x + y + 160

Reorder the terms:
130 + 2x + y = 3x + y + 160

Reorder the terms:
130 + 2x + y = 160 + 3x + y

Add '-1y' to each side of the equation.
130 + 2x + y + -1y = 160 + 3x + y + -1y

Combine like terms: y + -1y = 0
130 + 2x + 0 = 160 + 3x + y + -1y
130 + 2x = 160 + 3x + y + -1y

Combine like terms: y + -1y = 0
130 + 2x = 160 + 3x + 0
130 + 2x = 160 + 3x

Solving
130 + 2x = 160 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
130 + 2x + -3x = 160 + 3x + -3x

Combine like terms: 2x + -3x = -1x
130 + -1x = 160 + 3x + -3x

Combine like terms: 3x + -3x = 0
130 + -1x = 160 + 0
130 + -1x = 160

Add '-130' to each side of the equation.
130 + -130 + -1x = 160 + -130

Combine like terms: 130 + -130 = 0
0 + -1x = 160 + -130
-1x = 160 + -130

Combine like terms: 160 + -130 = 30
-1x = 30

Divide each side by '-1'.
x = -30

Simplifying
x = -30

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