41=8(4x-5)+6(x-6)

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Solution for 41=8(4x-5)+6(x-6) equation:


Simplifying
41 = 8(4x + -5) + 6(x + -6)

Reorder the terms:
41 = 8(-5 + 4x) + 6(x + -6)
41 = (-5 * 8 + 4x * 8) + 6(x + -6)
41 = (-40 + 32x) + 6(x + -6)

Reorder the terms:
41 = -40 + 32x + 6(-6 + x)
41 = -40 + 32x + (-6 * 6 + x * 6)
41 = -40 + 32x + (-36 + 6x)

Reorder the terms:
41 = -40 + -36 + 32x + 6x

Combine like terms: -40 + -36 = -76
41 = -76 + 32x + 6x

Combine like terms: 32x + 6x = 38x
41 = -76 + 38x

Solving
41 = -76 + 38x

Solving for variable 'x'.

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

Add '-38x' to each side of the equation.
41 + -38x = -76 + 38x + -38x

Combine like terms: 38x + -38x = 0
41 + -38x = -76 + 0
41 + -38x = -76

Add '-41' to each side of the equation.
41 + -41 + -38x = -76 + -41

Combine like terms: 41 + -41 = 0
0 + -38x = -76 + -41
-38x = -76 + -41

Combine like terms: -76 + -41 = -117
-38x = -117

Divide each side by '-38'.
x = 3.078947368

Simplifying
x = 3.078947368

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