1-8(4x-3)+5(5x-3)=0

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Solution for 1-8(4x-3)+5(5x-3)=0 equation:


Simplifying
1 + -8(4x + -3) + 5(5x + -3) = 0

Reorder the terms:
1 + -8(-3 + 4x) + 5(5x + -3) = 0
1 + (-3 * -8 + 4x * -8) + 5(5x + -3) = 0
1 + (24 + -32x) + 5(5x + -3) = 0

Reorder the terms:
1 + 24 + -32x + 5(-3 + 5x) = 0
1 + 24 + -32x + (-3 * 5 + 5x * 5) = 0
1 + 24 + -32x + (-15 + 25x) = 0

Reorder the terms:
1 + 24 + -15 + -32x + 25x = 0

Combine like terms: 1 + 24 = 25
25 + -15 + -32x + 25x = 0

Combine like terms: 25 + -15 = 10
10 + -32x + 25x = 0

Combine like terms: -32x + 25x = -7x
10 + -7x = 0

Solving
10 + -7x = 0

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -7x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = 0 + -10
-7x = 0 + -10

Combine like terms: 0 + -10 = -10
-7x = -10

Divide each side by '-7'.
x = 1.428571429

Simplifying
x = 1.428571429

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