5x+5=7(6x-7)

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Solution for 5x+5=7(6x-7) equation:


Simplifying
5x + 5 = 7(6x + -7)

Reorder the terms:
5 + 5x = 7(6x + -7)

Reorder the terms:
5 + 5x = 7(-7 + 6x)
5 + 5x = (-7 * 7 + 6x * 7)
5 + 5x = (-49 + 42x)

Solving
5 + 5x = -49 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
5 + 5x + -42x = -49 + 42x + -42x

Combine like terms: 5x + -42x = -37x
5 + -37x = -49 + 42x + -42x

Combine like terms: 42x + -42x = 0
5 + -37x = -49 + 0
5 + -37x = -49

Add '-5' to each side of the equation.
5 + -5 + -37x = -49 + -5

Combine like terms: 5 + -5 = 0
0 + -37x = -49 + -5
-37x = -49 + -5

Combine like terms: -49 + -5 = -54
-37x = -54

Divide each side by '-37'.
x = 1.459459459

Simplifying
x = 1.459459459

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