-1+5(9x-5)=3(x-4)-2

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Solution for -1+5(9x-5)=3(x-4)-2 equation:


Simplifying
-1 + 5(9x + -5) = 3(x + -4) + -2

Reorder the terms:
-1 + 5(-5 + 9x) = 3(x + -4) + -2
-1 + (-5 * 5 + 9x * 5) = 3(x + -4) + -2
-1 + (-25 + 45x) = 3(x + -4) + -2

Combine like terms: -1 + -25 = -26
-26 + 45x = 3(x + -4) + -2

Reorder the terms:
-26 + 45x = 3(-4 + x) + -2
-26 + 45x = (-4 * 3 + x * 3) + -2
-26 + 45x = (-12 + 3x) + -2

Reorder the terms:
-26 + 45x = -12 + -2 + 3x

Combine like terms: -12 + -2 = -14
-26 + 45x = -14 + 3x

Solving
-26 + 45x = -14 + 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.
-26 + 45x + -3x = -14 + 3x + -3x

Combine like terms: 45x + -3x = 42x
-26 + 42x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-26 + 42x = -14 + 0
-26 + 42x = -14

Add '26' to each side of the equation.
-26 + 26 + 42x = -14 + 26

Combine like terms: -26 + 26 = 0
0 + 42x = -14 + 26
42x = -14 + 26

Combine like terms: -14 + 26 = 12
42x = 12

Divide each side by '42'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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