14+3(x+10)=7(2x+4)+x

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Solution for 14+3(x+10)=7(2x+4)+x equation: 


Simplifying
14 + 3(x + 10) = 7(2x + 4) + x

Reorder the terms:
14 + 3(10 + x) = 7(2x + 4) + x
14 + (10 * 3 + x * 3) = 7(2x + 4) + x
14 + (30 + 3x) = 7(2x + 4) + x

Combine like terms: 14 + 30 = 44
44 + 3x = 7(2x + 4) + x

Reorder the terms:
44 + 3x = 7(4 + 2x) + x
44 + 3x = (4 * 7 + 2x * 7) + x
44 + 3x = (28 + 14x) + x

Combine like terms: 14x + x = 15x
44 + 3x = 28 + 15x

Solving
44 + 3x = 28 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
44 + 3x + -15x = 28 + 15x + -15x

Combine like terms: 3x + -15x = -12x
44 + -12x = 28 + 15x + -15x

Combine like terms: 15x + -15x = 0
44 + -12x = 28 + 0
44 + -12x = 28

Add '-44' to each side of the equation.
44 + -44 + -12x = 28 + -44

Combine like terms: 44 + -44 = 0
0 + -12x = 28 + -44
-12x = 28 + -44

Combine like terms: 28 + -44 = -16
-12x = -16

Divide each side by '-12'.
x = 1.333333333

Simplifying
x = 1.333333333

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