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

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


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

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

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

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

Reorder the terms:
16 + 3x = 28 + -4 + 14x

Combine like terms: 28 + -4 = 24
16 + 3x = 24 + 14x

Solving
16 + 3x = 24 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
16 + 3x + -14x = 24 + 14x + -14x

Combine like terms: 3x + -14x = -11x
16 + -11x = 24 + 14x + -14x

Combine like terms: 14x + -14x = 0
16 + -11x = 24 + 0
16 + -11x = 24

Add '-16' to each side of the equation.
16 + -16 + -11x = 24 + -16

Combine like terms: 16 + -16 = 0
0 + -11x = 24 + -16
-11x = 24 + -16

Combine like terms: 24 + -16 = 8
-11x = 8

Divide each side by '-11'.
x = -0.7272727273

Simplifying
x = -0.7272727273

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