7(x+2)+1=3(x+14)-4x

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Solution for 7(x+2)+1=3(x+14)-4x equation:


Simplifying
7(x + 2) + 1 = 3(x + 14) + -4x

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

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

Combine like terms: 14 + 1 = 15
15 + 7x = 3(x + 14) + -4x

Reorder the terms:
15 + 7x = 3(14 + x) + -4x
15 + 7x = (14 * 3 + x * 3) + -4x
15 + 7x = (42 + 3x) + -4x

Combine like terms: 3x + -4x = -1x
15 + 7x = 42 + -1x

Solving
15 + 7x = 42 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
15 + 7x + x = 42 + -1x + x

Combine like terms: 7x + x = 8x
15 + 8x = 42 + -1x + x

Combine like terms: -1x + x = 0
15 + 8x = 42 + 0
15 + 8x = 42

Add '-15' to each side of the equation.
15 + -15 + 8x = 42 + -15

Combine like terms: 15 + -15 = 0
0 + 8x = 42 + -15
8x = 42 + -15

Combine like terms: 42 + -15 = 27
8x = 27

Divide each side by '8'.
x = 3.375

Simplifying
x = 3.375

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