14x+4(x-2)=5(2x+1)+3

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Solution for 14x+4(x-2)=5(2x+1)+3 equation:


Simplifying
14x + 4(x + -2) = 5(2x + 1) + 3

Reorder the terms:
14x + 4(-2 + x) = 5(2x + 1) + 3
14x + (-2 * 4 + x * 4) = 5(2x + 1) + 3
14x + (-8 + 4x) = 5(2x + 1) + 3

Reorder the terms:
-8 + 14x + 4x = 5(2x + 1) + 3

Combine like terms: 14x + 4x = 18x
-8 + 18x = 5(2x + 1) + 3

Reorder the terms:
-8 + 18x = 5(1 + 2x) + 3
-8 + 18x = (1 * 5 + 2x * 5) + 3
-8 + 18x = (5 + 10x) + 3

Reorder the terms:
-8 + 18x = 5 + 3 + 10x

Combine like terms: 5 + 3 = 8
-8 + 18x = 8 + 10x

Solving
-8 + 18x = 8 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-8 + 18x + -10x = 8 + 10x + -10x

Combine like terms: 18x + -10x = 8x
-8 + 8x = 8 + 10x + -10x

Combine like terms: 10x + -10x = 0
-8 + 8x = 8 + 0
-8 + 8x = 8

Add '8' to each side of the equation.
-8 + 8 + 8x = 8 + 8

Combine like terms: -8 + 8 = 0
0 + 8x = 8 + 8
8x = 8 + 8

Combine like terms: 8 + 8 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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