5(7x-8)=3(x-8)-4(6x-7)

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Solution for 5(7x-8)=3(x-8)-4(6x-7) equation:


Simplifying
5(7x + -8) = 3(x + -8) + -4(6x + -7)

Reorder the terms:
5(-8 + 7x) = 3(x + -8) + -4(6x + -7)
(-8 * 5 + 7x * 5) = 3(x + -8) + -4(6x + -7)
(-40 + 35x) = 3(x + -8) + -4(6x + -7)

Reorder the terms:
-40 + 35x = 3(-8 + x) + -4(6x + -7)
-40 + 35x = (-8 * 3 + x * 3) + -4(6x + -7)
-40 + 35x = (-24 + 3x) + -4(6x + -7)

Reorder the terms:
-40 + 35x = -24 + 3x + -4(-7 + 6x)
-40 + 35x = -24 + 3x + (-7 * -4 + 6x * -4)
-40 + 35x = -24 + 3x + (28 + -24x)

Reorder the terms:
-40 + 35x = -24 + 28 + 3x + -24x

Combine like terms: -24 + 28 = 4
-40 + 35x = 4 + 3x + -24x

Combine like terms: 3x + -24x = -21x
-40 + 35x = 4 + -21x

Solving
-40 + 35x = 4 + -21x

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
-40 + 35x + 21x = 4 + -21x + 21x

Combine like terms: 35x + 21x = 56x
-40 + 56x = 4 + -21x + 21x

Combine like terms: -21x + 21x = 0
-40 + 56x = 4 + 0
-40 + 56x = 4

Add '40' to each side of the equation.
-40 + 40 + 56x = 4 + 40

Combine like terms: -40 + 40 = 0
0 + 56x = 4 + 40
56x = 4 + 40

Combine like terms: 4 + 40 = 44
56x = 44

Divide each side by '56'.
x = 0.7857142857

Simplifying
x = 0.7857142857

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