2+7(3x+1)=4x-10

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Solution for 2+7(3x+1)=4x-10 equation:


Simplifying
2 + 7(3x + 1) = 4x + -10

Reorder the terms:
2 + 7(1 + 3x) = 4x + -10
2 + (1 * 7 + 3x * 7) = 4x + -10
2 + (7 + 21x) = 4x + -10

Combine like terms: 2 + 7 = 9
9 + 21x = 4x + -10

Reorder the terms:
9 + 21x = -10 + 4x

Solving
9 + 21x = -10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + 21x + -4x = -10 + 4x + -4x

Combine like terms: 21x + -4x = 17x
9 + 17x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + 17x = -10 + 0
9 + 17x = -10

Add '-9' to each side of the equation.
9 + -9 + 17x = -10 + -9

Combine like terms: 9 + -9 = 0
0 + 17x = -10 + -9
17x = -10 + -9

Combine like terms: -10 + -9 = -19
17x = -19

Divide each side by '17'.
x = -1.117647059

Simplifying
x = -1.117647059

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