4(5+2x)-5=3(3x+7)77

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Solution for 4(5+2x)-5=3(3x+7)77 equation: 


Simplifying
4(5 + 2x) + -5 = 3(3x + 7) * 77
(5 * 4 + 2x * 4) + -5 = 3(3x + 7) * 77
(20 + 8x) + -5 = 3(3x + 7) * 77

Reorder the terms:
20 + -5 + 8x = 3(3x + 7) * 77

Combine like terms: 20 + -5 = 15
15 + 8x = 3(3x + 7) * 77

Reorder the terms:
15 + 8x = 3(7 + 3x) * 77

Reorder the terms for easier multiplication:
15 + 8x = 3 * 77(7 + 3x)

Multiply 3 * 77
15 + 8x = 231(7 + 3x)
15 + 8x = (7 * 231 + 3x * 231)
15 + 8x = (1617 + 693x)

Solving
15 + 8x = 1617 + 693x

Solving for variable 'x'.

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

Add '-693x' to each side of the equation.
15 + 8x + -693x = 1617 + 693x + -693x

Combine like terms: 8x + -693x = -685x
15 + -685x = 1617 + 693x + -693x

Combine like terms: 693x + -693x = 0
15 + -685x = 1617 + 0
15 + -685x = 1617

Add '-15' to each side of the equation.
15 + -15 + -685x = 1617 + -15

Combine like terms: 15 + -15 = 0
0 + -685x = 1617 + -15
-685x = 1617 + -15

Combine like terms: 1617 + -15 = 1602
-685x = 1602

Divide each side by '-685'.
x = -2.338686131

Simplifying
x = -2.338686131

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