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

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


Simplifying
4(9x + -4) + -1[2(5x + -3) + 1] = 0

Reorder the terms:
4(-4 + 9x) + -1[2(5x + -3) + 1] = 0
(-4 * 4 + 9x * 4) + -1[2(5x + -3) + 1] = 0
(-16 + 36x) + -1[2(5x + -3) + 1] = 0

Reorder the terms:
-16 + 36x + -1[2(-3 + 5x) + 1] = 0
-16 + 36x + -1[(-3 * 2 + 5x * 2) + 1] = 0
-16 + 36x + -1[(-6 + 10x) + 1] = 0

Reorder the terms:
-16 + 36x + -1[-6 + 1 + 10x] = 0

Combine like terms: -6 + 1 = -5
-16 + 36x + -1[-5 + 10x] = 0
-16 + 36x + [-5 * -1 + 10x * -1] = 0
-16 + 36x + [5 + -10x] = 0

Reorder the terms:
-16 + 5 + 36x + -10x = 0

Combine like terms: -16 + 5 = -11
-11 + 36x + -10x = 0

Combine like terms: 36x + -10x = 26x
-11 + 26x = 0

Solving
-11 + 26x = 0

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 26x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 26x = 0 + 11
26x = 0 + 11

Combine like terms: 0 + 11 = 11
26x = 11

Divide each side by '26'.
x = 0.4230769231

Simplifying
x = 0.4230769231

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