5x+2(3y-2x)+6(3x+4y)+10=

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Solution for 5x+2(3y-2x)+6(3x+4y)+10= equation:


Simplifying
5x + 2(3y + -2x) + 6(3x + 4y) + 10 = 0

Reorder the terms:
5x + 2(-2x + 3y) + 6(3x + 4y) + 10 = 0
5x + (-2x * 2 + 3y * 2) + 6(3x + 4y) + 10 = 0
5x + (-4x + 6y) + 6(3x + 4y) + 10 = 0
5x + -4x + 6y + (3x * 6 + 4y * 6) + 10 = 0
5x + -4x + 6y + (18x + 24y) + 10 = 0

Reorder the terms:
10 + 5x + -4x + 18x + 6y + 24y = 0

Combine like terms: 5x + -4x = 1x
10 + 1x + 18x + 6y + 24y = 0

Combine like terms: 1x + 18x = 19x
10 + 19x + 6y + 24y = 0

Combine like terms: 6y + 24y = 30y
10 + 19x + 30y = 0

Solving
10 + 19x + 30y = 0

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 + 19x + -10 + 30y = 0 + -10

Reorder the terms:
10 + -10 + 19x + 30y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 19x + 30y = 0 + -10
19x + 30y = 0 + -10

Combine like terms: 0 + -10 = -10
19x + 30y = -10

Add '-30y' to each side of the equation.
19x + 30y + -30y = -10 + -30y

Combine like terms: 30y + -30y = 0
19x + 0 = -10 + -30y
19x = -10 + -30y

Divide each side by '19'.
x = -0.5263157895 + -1.578947368y

Simplifying
x = -0.5263157895 + -1.578947368y

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