51-(4x+6)=2(x+5)+x

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Solution for 51-(4x+6)=2(x+5)+x equation: 


Simplifying
51 + -1(4x + 6) = 2(x + 5) + x

Reorder the terms:
51 + -1(6 + 4x) = 2(x + 5) + x
51 + (6 * -1 + 4x * -1) = 2(x + 5) + x
51 + (-6 + -4x) = 2(x + 5) + x

Combine like terms: 51 + -6 = 45
45 + -4x = 2(x + 5) + x

Reorder the terms:
45 + -4x = 2(5 + x) + x
45 + -4x = (5 * 2 + x * 2) + x
45 + -4x = (10 + 2x) + x

Combine like terms: 2x + x = 3x
45 + -4x = 10 + 3x

Solving
45 + -4x = 10 + 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.
45 + -4x + -3x = 10 + 3x + -3x

Combine like terms: -4x + -3x = -7x
45 + -7x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
45 + -7x = 10 + 0
45 + -7x = 10

Add '-45' to each side of the equation.
45 + -45 + -7x = 10 + -45

Combine like terms: 45 + -45 = 0
0 + -7x = 10 + -45
-7x = 10 + -45

Combine like terms: 10 + -45 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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