5x+8y+7=7x+11

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Solution for 5x+8y+7=7x+11 equation:


Simplifying
5x + 8y + 7 = 7x + 11

Reorder the terms:
7 + 5x + 8y = 7x + 11

Reorder the terms:
7 + 5x + 8y = 11 + 7x

Solving
7 + 5x + 8y = 11 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
7 + 5x + -7x + 8y = 11 + 7x + -7x

Combine like terms: 5x + -7x = -2x
7 + -2x + 8y = 11 + 7x + -7x

Combine like terms: 7x + -7x = 0
7 + -2x + 8y = 11 + 0
7 + -2x + 8y = 11

Add '-7' to each side of the equation.
7 + -2x + -7 + 8y = 11 + -7

Reorder the terms:
7 + -7 + -2x + 8y = 11 + -7

Combine like terms: 7 + -7 = 0
0 + -2x + 8y = 11 + -7
-2x + 8y = 11 + -7

Combine like terms: 11 + -7 = 4
-2x + 8y = 4

Add '-8y' to each side of the equation.
-2x + 8y + -8y = 4 + -8y

Combine like terms: 8y + -8y = 0
-2x + 0 = 4 + -8y
-2x = 4 + -8y

Divide each side by '-2'.
x = -2 + 4y

Simplifying
x = -2 + 4y

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