4(2x+6)=10x-3

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Solution for 4(2x+6)=10x-3 equation:


Simplifying
4(2x + 6) = 10x + -3

Reorder the terms:
4(6 + 2x) = 10x + -3
(6 * 4 + 2x * 4) = 10x + -3
(24 + 8x) = 10x + -3

Reorder the terms:
24 + 8x = -3 + 10x

Solving
24 + 8x = -3 + 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.
24 + 8x + -10x = -3 + 10x + -10x

Combine like terms: 8x + -10x = -2x
24 + -2x = -3 + 10x + -10x

Combine like terms: 10x + -10x = 0
24 + -2x = -3 + 0
24 + -2x = -3

Add '-24' to each side of the equation.
24 + -24 + -2x = -3 + -24

Combine like terms: 24 + -24 = 0
0 + -2x = -3 + -24
-2x = -3 + -24

Combine like terms: -3 + -24 = -27
-2x = -27

Divide each side by '-2'.
x = 13.5

Simplifying
x = 13.5

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