4(x+4)=10x-5

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Solution for 4(x+4)=10x-5 equation:


Simplifying
4(x + 4) = 10x + -5

Reorder the terms:
4(4 + x) = 10x + -5
(4 * 4 + x * 4) = 10x + -5
(16 + 4x) = 10x + -5

Reorder the terms:
16 + 4x = -5 + 10x

Solving
16 + 4x = -5 + 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.
16 + 4x + -10x = -5 + 10x + -10x

Combine like terms: 4x + -10x = -6x
16 + -6x = -5 + 10x + -10x

Combine like terms: 10x + -10x = 0
16 + -6x = -5 + 0
16 + -6x = -5

Add '-16' to each side of the equation.
16 + -16 + -6x = -5 + -16

Combine like terms: 16 + -16 = 0
0 + -6x = -5 + -16
-6x = -5 + -16

Combine like terms: -5 + -16 = -21
-6x = -21

Divide each side by '-6'.
x = 3.5

Simplifying
x = 3.5

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