3x-2(5x+1)=5(2x+7)

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Solution for 3x-2(5x+1)=5(2x+7) equation:


Simplifying
3x + -2(5x + 1) = 5(2x + 7)

Reorder the terms:
3x + -2(1 + 5x) = 5(2x + 7)
3x + (1 * -2 + 5x * -2) = 5(2x + 7)
3x + (-2 + -10x) = 5(2x + 7)

Reorder the terms:
-2 + 3x + -10x = 5(2x + 7)

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

Reorder the terms:
-2 + -7x = 5(7 + 2x)
-2 + -7x = (7 * 5 + 2x * 5)
-2 + -7x = (35 + 10x)

Solving
-2 + -7x = 35 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-2 + -7x + -10x = 35 + 10x + -10x

Combine like terms: -7x + -10x = -17x
-2 + -17x = 35 + 10x + -10x

Combine like terms: 10x + -10x = 0
-2 + -17x = 35 + 0
-2 + -17x = 35

Add '2' to each side of the equation.
-2 + 2 + -17x = 35 + 2

Combine like terms: -2 + 2 = 0
0 + -17x = 35 + 2
-17x = 35 + 2

Combine like terms: 35 + 2 = 37
-17x = 37

Divide each side by '-17'.
x = -2.176470588

Simplifying
x = -2.176470588

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