2(7x+1)=3(x-10)+3x

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Solution for 2(7x+1)=3(x-10)+3x equation: 


Simplifying
2(7x + 1) = 3(x + -10) + 3x

Reorder the terms:
2(1 + 7x) = 3(x + -10) + 3x
(1 * 2 + 7x * 2) = 3(x + -10) + 3x
(2 + 14x) = 3(x + -10) + 3x

Reorder the terms:
2 + 14x = 3(-10 + x) + 3x
2 + 14x = (-10 * 3 + x * 3) + 3x
2 + 14x = (-30 + 3x) + 3x

Combine like terms: 3x + 3x = 6x
2 + 14x = -30 + 6x

Solving
2 + 14x = -30 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + 14x + -6x = -30 + 6x + -6x

Combine like terms: 14x + -6x = 8x
2 + 8x = -30 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + 8x = -30 + 0
2 + 8x = -30

Add '-2' to each side of the equation.
2 + -2 + 8x = -30 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = -30 + -2
8x = -30 + -2

Combine like terms: -30 + -2 = -32
8x = -32

Divide each side by '8'.
x = -4

Simplifying
x = -4

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