4(3x+5)=10x-4

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Solution for 4(3x+5)=10x-4 equation:


Simplifying
4(3x + 5) = 10x + -4

Reorder the terms:
4(5 + 3x) = 10x + -4
(5 * 4 + 3x * 4) = 10x + -4
(20 + 12x) = 10x + -4

Reorder the terms:
20 + 12x = -4 + 10x

Solving
20 + 12x = -4 + 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.
20 + 12x + -10x = -4 + 10x + -10x

Combine like terms: 12x + -10x = 2x
20 + 2x = -4 + 10x + -10x

Combine like terms: 10x + -10x = 0
20 + 2x = -4 + 0
20 + 2x = -4

Add '-20' to each side of the equation.
20 + -20 + 2x = -4 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = -4 + -20
2x = -4 + -20

Combine like terms: -4 + -20 = -24
2x = -24

Divide each side by '2'.
x = -12

Simplifying
x = -12

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