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

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


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

Reorder the terms:
10x + 2(1 + 3x) = 1 + 7(2x + 3)
10x + (1 * 2 + 3x * 2) = 1 + 7(2x + 3)
10x + (2 + 6x) = 1 + 7(2x + 3)

Reorder the terms:
2 + 10x + 6x = 1 + 7(2x + 3)

Combine like terms: 10x + 6x = 16x
2 + 16x = 1 + 7(2x + 3)

Reorder the terms:
2 + 16x = 1 + 7(3 + 2x)
2 + 16x = 1 + (3 * 7 + 2x * 7)
2 + 16x = 1 + (21 + 14x)

Combine like terms: 1 + 21 = 22
2 + 16x = 22 + 14x

Solving
2 + 16x = 22 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
2 + 16x + -14x = 22 + 14x + -14x

Combine like terms: 16x + -14x = 2x
2 + 2x = 22 + 14x + -14x

Combine like terms: 14x + -14x = 0
2 + 2x = 22 + 0
2 + 2x = 22

Add '-2' to each side of the equation.
2 + -2 + 2x = 22 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 22 + -2
2x = 22 + -2

Combine like terms: 22 + -2 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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