9(4x+7)-4=8(7x+3)-3x

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Solution for 9(4x+7)-4=8(7x+3)-3x equation:


Simplifying
9(4x + 7) + -4 = 8(7x + 3) + -3x

Reorder the terms:
9(7 + 4x) + -4 = 8(7x + 3) + -3x
(7 * 9 + 4x * 9) + -4 = 8(7x + 3) + -3x
(63 + 36x) + -4 = 8(7x + 3) + -3x

Reorder the terms:
63 + -4 + 36x = 8(7x + 3) + -3x

Combine like terms: 63 + -4 = 59
59 + 36x = 8(7x + 3) + -3x

Reorder the terms:
59 + 36x = 8(3 + 7x) + -3x
59 + 36x = (3 * 8 + 7x * 8) + -3x
59 + 36x = (24 + 56x) + -3x

Combine like terms: 56x + -3x = 53x
59 + 36x = 24 + 53x

Solving
59 + 36x = 24 + 53x

Solving for variable 'x'.

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

Add '-53x' to each side of the equation.
59 + 36x + -53x = 24 + 53x + -53x

Combine like terms: 36x + -53x = -17x
59 + -17x = 24 + 53x + -53x

Combine like terms: 53x + -53x = 0
59 + -17x = 24 + 0
59 + -17x = 24

Add '-59' to each side of the equation.
59 + -59 + -17x = 24 + -59

Combine like terms: 59 + -59 = 0
0 + -17x = 24 + -59
-17x = 24 + -59

Combine like terms: 24 + -59 = -35
-17x = -35

Divide each side by '-17'.
x = 2.058823529

Simplifying
x = 2.058823529

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