76-4(34x-23)=3x-4(24-54)

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Solution for 76-4(34x-23)=3x-4(24-54) equation:


Simplifying
76 + -4(34x + -23) = 3x + -4(24 + -54)

Reorder the terms:
76 + -4(-23 + 34x) = 3x + -4(24 + -54)
76 + (-23 * -4 + 34x * -4) = 3x + -4(24 + -54)
76 + (92 + -136x) = 3x + -4(24 + -54)

Combine like terms: 76 + 92 = 168
168 + -136x = 3x + -4(24 + -54)

Combine like terms: 24 + -54 = -30
168 + -136x = 3x + -4(-30)

Multiply -4 * -30
168 + -136x = 3x + 120

Reorder the terms:
168 + -136x = 120 + 3x

Solving
168 + -136x = 120 + 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.
168 + -136x + -3x = 120 + 3x + -3x

Combine like terms: -136x + -3x = -139x
168 + -139x = 120 + 3x + -3x

Combine like terms: 3x + -3x = 0
168 + -139x = 120 + 0
168 + -139x = 120

Add '-168' to each side of the equation.
168 + -168 + -139x = 120 + -168

Combine like terms: 168 + -168 = 0
0 + -139x = 120 + -168
-139x = 120 + -168

Combine like terms: 120 + -168 = -48
-139x = -48

Divide each side by '-139'.
x = 0.345323741

Simplifying
x = 0.345323741

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