2(3x-5)+14=4(x+9)+4

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Solution for 2(3x-5)+14=4(x+9)+4 equation:


Simplifying
2(3x + -5) + 14 = 4(x + 9) + 4

Reorder the terms:
2(-5 + 3x) + 14 = 4(x + 9) + 4
(-5 * 2 + 3x * 2) + 14 = 4(x + 9) + 4
(-10 + 6x) + 14 = 4(x + 9) + 4

Reorder the terms:
-10 + 14 + 6x = 4(x + 9) + 4

Combine like terms: -10 + 14 = 4
4 + 6x = 4(x + 9) + 4

Reorder the terms:
4 + 6x = 4(9 + x) + 4
4 + 6x = (9 * 4 + x * 4) + 4
4 + 6x = (36 + 4x) + 4

Reorder the terms:
4 + 6x = 36 + 4 + 4x

Combine like terms: 36 + 4 = 40
4 + 6x = 40 + 4x

Solving
4 + 6x = 40 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
4 + 6x + -4x = 40 + 4x + -4x

Combine like terms: 6x + -4x = 2x
4 + 2x = 40 + 4x + -4x

Combine like terms: 4x + -4x = 0
4 + 2x = 40 + 0
4 + 2x = 40

Add '-4' to each side of the equation.
4 + -4 + 2x = 40 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 40 + -4
2x = 40 + -4

Combine like terms: 40 + -4 = 36
2x = 36

Divide each side by '2'.
x = 18

Simplifying
x = 18

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