7x-(3x+5)+8=4(8x+20)-7x+5

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Solution for 7x-(3x+5)+8=4(8x+20)-7x+5 equation:


Simplifying
7x + -1(3x + 5) + 8 = 4(8x + 20) + -7x + 5

Reorder the terms:
7x + -1(5 + 3x) + 8 = 4(8x + 20) + -7x + 5
7x + (5 * -1 + 3x * -1) + 8 = 4(8x + 20) + -7x + 5
7x + (-5 + -3x) + 8 = 4(8x + 20) + -7x + 5

Reorder the terms:
-5 + 8 + 7x + -3x = 4(8x + 20) + -7x + 5

Combine like terms: -5 + 8 = 3
3 + 7x + -3x = 4(8x + 20) + -7x + 5

Combine like terms: 7x + -3x = 4x
3 + 4x = 4(8x + 20) + -7x + 5

Reorder the terms:
3 + 4x = 4(20 + 8x) + -7x + 5
3 + 4x = (20 * 4 + 8x * 4) + -7x + 5
3 + 4x = (80 + 32x) + -7x + 5

Reorder the terms:
3 + 4x = 80 + 5 + 32x + -7x

Combine like terms: 80 + 5 = 85
3 + 4x = 85 + 32x + -7x

Combine like terms: 32x + -7x = 25x
3 + 4x = 85 + 25x

Solving
3 + 4x = 85 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
3 + 4x + -25x = 85 + 25x + -25x

Combine like terms: 4x + -25x = -21x
3 + -21x = 85 + 25x + -25x

Combine like terms: 25x + -25x = 0
3 + -21x = 85 + 0
3 + -21x = 85

Add '-3' to each side of the equation.
3 + -3 + -21x = 85 + -3

Combine like terms: 3 + -3 = 0
0 + -21x = 85 + -3
-21x = 85 + -3

Combine like terms: 85 + -3 = 82
-21x = 82

Divide each side by '-21'.
x = -3.904761905

Simplifying
x = -3.904761905

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