-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) + -1x

Reorder the terms:
-14 + 3(10 + x) = 7(2x + 4) + -1x
-14 + (10 * 3 + x * 3) = 7(2x + 4) + -1x
-14 + (30 + 3x) = 7(2x + 4) + -1x

Combine like terms: -14 + 30 = 16
16 + 3x = 7(2x + 4) + -1x

Reorder the terms:
16 + 3x = 7(4 + 2x) + -1x
16 + 3x = (4 * 7 + 2x * 7) + -1x
16 + 3x = (28 + 14x) + -1x

Combine like terms: 14x + -1x = 13x
16 + 3x = 28 + 13x

Solving
16 + 3x = 28 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
16 + 3x + -13x = 28 + 13x + -13x

Combine like terms: 3x + -13x = -10x
16 + -10x = 28 + 13x + -13x

Combine like terms: 13x + -13x = 0
16 + -10x = 28 + 0
16 + -10x = 28

Add '-16' to each side of the equation.
16 + -16 + -10x = 28 + -16

Combine like terms: 16 + -16 = 0
0 + -10x = 28 + -16
-10x = 28 + -16

Combine like terms: 28 + -16 = 12
-10x = 12

Divide each side by '-10'.
x = -1.2

Simplifying
x = -1.2

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