3(x+1)+8=7(4-x)-3

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Solution for 3(x+1)+8=7(4-x)-3 equation:


Simplifying
3(x + 1) + 8 = 7(4 + -1x) + -3

Reorder the terms:
3(1 + x) + 8 = 7(4 + -1x) + -3
(1 * 3 + x * 3) + 8 = 7(4 + -1x) + -3
(3 + 3x) + 8 = 7(4 + -1x) + -3

Reorder the terms:
3 + 8 + 3x = 7(4 + -1x) + -3

Combine like terms: 3 + 8 = 11
11 + 3x = 7(4 + -1x) + -3
11 + 3x = (4 * 7 + -1x * 7) + -3
11 + 3x = (28 + -7x) + -3

Reorder the terms:
11 + 3x = 28 + -3 + -7x

Combine like terms: 28 + -3 = 25
11 + 3x = 25 + -7x

Solving
11 + 3x = 25 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
11 + 3x + 7x = 25 + -7x + 7x

Combine like terms: 3x + 7x = 10x
11 + 10x = 25 + -7x + 7x

Combine like terms: -7x + 7x = 0
11 + 10x = 25 + 0
11 + 10x = 25

Add '-11' to each side of the equation.
11 + -11 + 10x = 25 + -11

Combine like terms: 11 + -11 = 0
0 + 10x = 25 + -11
10x = 25 + -11

Combine like terms: 25 + -11 = 14
10x = 14

Divide each side by '10'.
x = 1.4

Simplifying
x = 1.4

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