7x+5=10(x-7-3x)

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Solution for 7x+5=10(x-7-3x) equation:


Simplifying
7x + 5 = 10(x + -7 + -3x)

Reorder the terms:
5 + 7x = 10(x + -7 + -3x)

Reorder the terms:
5 + 7x = 10(-7 + x + -3x)

Combine like terms: x + -3x = -2x
5 + 7x = 10(-7 + -2x)
5 + 7x = (-7 * 10 + -2x * 10)
5 + 7x = (-70 + -20x)

Solving
5 + 7x = -70 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
5 + 7x + 20x = -70 + -20x + 20x

Combine like terms: 7x + 20x = 27x
5 + 27x = -70 + -20x + 20x

Combine like terms: -20x + 20x = 0
5 + 27x = -70 + 0
5 + 27x = -70

Add '-5' to each side of the equation.
5 + -5 + 27x = -70 + -5

Combine like terms: 5 + -5 = 0
0 + 27x = -70 + -5
27x = -70 + -5

Combine like terms: -70 + -5 = -75
27x = -75

Divide each side by '27'.
x = -2.777777778

Simplifying
x = -2.777777778

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