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

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


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

Reorder the terms:
7(3 + 2x) + -4(2x + 1) = 2(x + 1)
(3 * 7 + 2x * 7) + -4(2x + 1) = 2(x + 1)
(21 + 14x) + -4(2x + 1) = 2(x + 1)

Reorder the terms:
21 + 14x + -4(1 + 2x) = 2(x + 1)
21 + 14x + (1 * -4 + 2x * -4) = 2(x + 1)
21 + 14x + (-4 + -8x) = 2(x + 1)

Reorder the terms:
21 + -4 + 14x + -8x = 2(x + 1)

Combine like terms: 21 + -4 = 17
17 + 14x + -8x = 2(x + 1)

Combine like terms: 14x + -8x = 6x
17 + 6x = 2(x + 1)

Reorder the terms:
17 + 6x = 2(1 + x)
17 + 6x = (1 * 2 + x * 2)
17 + 6x = (2 + 2x)

Solving
17 + 6x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
17 + 6x + -2x = 2 + 2x + -2x

Combine like terms: 6x + -2x = 4x
17 + 4x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
17 + 4x = 2 + 0
17 + 4x = 2

Add '-17' to each side of the equation.
17 + -17 + 4x = 2 + -17

Combine like terms: 17 + -17 = 0
0 + 4x = 2 + -17
4x = 2 + -17

Combine like terms: 2 + -17 = -15
4x = -15

Divide each side by '4'.
x = -3.75

Simplifying
x = -3.75

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