2(3x-7)-4(9x+5)=54

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Solution for 2(3x-7)-4(9x+5)=54 equation: 


Simplifying
2(3x + -7) + -4(9x + 5) = 54

Reorder the terms:
2(-7 + 3x) + -4(9x + 5) = 54
(-7 * 2 + 3x * 2) + -4(9x + 5) = 54
(-14 + 6x) + -4(9x + 5) = 54

Reorder the terms:
-14 + 6x + -4(5 + 9x) = 54
-14 + 6x + (5 * -4 + 9x * -4) = 54
-14 + 6x + (-20 + -36x) = 54

Reorder the terms:
-14 + -20 + 6x + -36x = 54

Combine like terms: -14 + -20 = -34
-34 + 6x + -36x = 54

Combine like terms: 6x + -36x = -30x
-34 + -30x = 54

Solving
-34 + -30x = 54

Solving for variable 'x'.

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

Add '34' to each side of the equation.
-34 + 34 + -30x = 54 + 34

Combine like terms: -34 + 34 = 0
0 + -30x = 54 + 34
-30x = 54 + 34

Combine like terms: 54 + 34 = 88
-30x = 88

Divide each side by '-30'.
x = -2.933333333

Simplifying
x = -2.933333333

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