5(4(8x+1)-7)-20x+10=5(7x+9)+5x

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Solution for 5(4(8x+1)-7)-20x+10=5(7x+9)+5x equation:


Simplifying
5(4(8x + 1) + -7) + -20x + 10 = 5(7x + 9) + 5x

Reorder the terms:
5(4(1 + 8x) + -7) + -20x + 10 = 5(7x + 9) + 5x
5((1 * 4 + 8x * 4) + -7) + -20x + 10 = 5(7x + 9) + 5x
5((4 + 32x) + -7) + -20x + 10 = 5(7x + 9) + 5x

Reorder the terms:
5(4 + -7 + 32x) + -20x + 10 = 5(7x + 9) + 5x

Combine like terms: 4 + -7 = -3
5(-3 + 32x) + -20x + 10 = 5(7x + 9) + 5x
(-3 * 5 + 32x * 5) + -20x + 10 = 5(7x + 9) + 5x
(-15 + 160x) + -20x + 10 = 5(7x + 9) + 5x

Reorder the terms:
-15 + 10 + 160x + -20x = 5(7x + 9) + 5x

Combine like terms: -15 + 10 = -5
-5 + 160x + -20x = 5(7x + 9) + 5x

Combine like terms: 160x + -20x = 140x
-5 + 140x = 5(7x + 9) + 5x

Reorder the terms:
-5 + 140x = 5(9 + 7x) + 5x
-5 + 140x = (9 * 5 + 7x * 5) + 5x
-5 + 140x = (45 + 35x) + 5x

Combine like terms: 35x + 5x = 40x
-5 + 140x = 45 + 40x

Solving
-5 + 140x = 45 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
-5 + 140x + -40x = 45 + 40x + -40x

Combine like terms: 140x + -40x = 100x
-5 + 100x = 45 + 40x + -40x

Combine like terms: 40x + -40x = 0
-5 + 100x = 45 + 0
-5 + 100x = 45

Add '5' to each side of the equation.
-5 + 5 + 100x = 45 + 5

Combine like terms: -5 + 5 = 0
0 + 100x = 45 + 5
100x = 45 + 5

Combine like terms: 45 + 5 = 50
100x = 50

Divide each side by '100'.
x = 0.5

Simplifying
x = 0.5

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