5(8x+1)=7(8x-3)-3x

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Solution for 5(8x+1)=7(8x-3)-3x equation:


Simplifying
5(8x + 1) = 7(8x + -3) + -3x

Reorder the terms:
5(1 + 8x) = 7(8x + -3) + -3x
(1 * 5 + 8x * 5) = 7(8x + -3) + -3x
(5 + 40x) = 7(8x + -3) + -3x

Reorder the terms:
5 + 40x = 7(-3 + 8x) + -3x
5 + 40x = (-3 * 7 + 8x * 7) + -3x
5 + 40x = (-21 + 56x) + -3x

Combine like terms: 56x + -3x = 53x
5 + 40x = -21 + 53x

Solving
5 + 40x = -21 + 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.
5 + 40x + -53x = -21 + 53x + -53x

Combine like terms: 40x + -53x = -13x
5 + -13x = -21 + 53x + -53x

Combine like terms: 53x + -53x = 0
5 + -13x = -21 + 0
5 + -13x = -21

Add '-5' to each side of the equation.
5 + -5 + -13x = -21 + -5

Combine like terms: 5 + -5 = 0
0 + -13x = -21 + -5
-13x = -21 + -5

Combine like terms: -21 + -5 = -26
-13x = -26

Divide each side by '-13'.
x = 2

Simplifying
x = 2

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