14x-3(2x-9)=4(4x-16)+3

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Solution for 14x-3(2x-9)=4(4x-16)+3 equation:


Simplifying
14x + -3(2x + -9) = 4(4x + -16) + 3

Reorder the terms:
14x + -3(-9 + 2x) = 4(4x + -16) + 3
14x + (-9 * -3 + 2x * -3) = 4(4x + -16) + 3
14x + (27 + -6x) = 4(4x + -16) + 3

Reorder the terms:
27 + 14x + -6x = 4(4x + -16) + 3

Combine like terms: 14x + -6x = 8x
27 + 8x = 4(4x + -16) + 3

Reorder the terms:
27 + 8x = 4(-16 + 4x) + 3
27 + 8x = (-16 * 4 + 4x * 4) + 3
27 + 8x = (-64 + 16x) + 3

Reorder the terms:
27 + 8x = -64 + 3 + 16x

Combine like terms: -64 + 3 = -61
27 + 8x = -61 + 16x

Solving
27 + 8x = -61 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
27 + 8x + -16x = -61 + 16x + -16x

Combine like terms: 8x + -16x = -8x
27 + -8x = -61 + 16x + -16x

Combine like terms: 16x + -16x = 0
27 + -8x = -61 + 0
27 + -8x = -61

Add '-27' to each side of the equation.
27 + -27 + -8x = -61 + -27

Combine like terms: 27 + -27 = 0
0 + -8x = -61 + -27
-8x = -61 + -27

Combine like terms: -61 + -27 = -88
-8x = -88

Divide each side by '-8'.
x = 11

Simplifying
x = 11

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