2(x-5)+3y=4

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Solution for 2(x-5)+3y=4 equation: 


Simplifying
2(x + -5) + 3y = 4

Reorder the terms:
2(-5 + x) + 3y = 4
(-5 * 2 + x * 2) + 3y = 4
(-10 + 2x) + 3y = 4

Solving
-10 + 2x + 3y = 4

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 2x + 10 + 3y = 4 + 10

Reorder the terms:
-10 + 10 + 2x + 3y = 4 + 10

Combine like terms: -10 + 10 = 0
0 + 2x + 3y = 4 + 10
2x + 3y = 4 + 10

Combine like terms: 4 + 10 = 14
2x + 3y = 14

Add '-3y' to each side of the equation.
2x + 3y + -3y = 14 + -3y

Combine like terms: 3y + -3y = 0
2x + 0 = 14 + -3y
2x = 14 + -3y

Divide each side by '2'.
x = 7 + -1.5y

Simplifying
x = 7 + -1.5y

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