58=3x-4(4x-9)

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Solution for 58=3x-4(4x-9) equation:


Simplifying
58 = 3x + -4(4x + -9)

Reorder the terms:
58 = 3x + -4(-9 + 4x)
58 = 3x + (-9 * -4 + 4x * -4)
58 = 3x + (36 + -16x)

Reorder the terms:
58 = 36 + 3x + -16x

Combine like terms: 3x + -16x = -13x
58 = 36 + -13x

Solving
58 = 36 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
58 + 13x = 36 + -13x + 13x

Combine like terms: -13x + 13x = 0
58 + 13x = 36 + 0
58 + 13x = 36

Add '-58' to each side of the equation.
58 + -58 + 13x = 36 + -58

Combine like terms: 58 + -58 = 0
0 + 13x = 36 + -58
13x = 36 + -58

Combine like terms: 36 + -58 = -22
13x = -22

Divide each side by '13'.
x = -1.692307692

Simplifying
x = -1.692307692

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