4+3(5x+14)=10(x+3)-24

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Solution for 4+3(5x+14)=10(x+3)-24 equation:


Simplifying
4 + 3(5x + 14) = 10(x + 3) + -24

Reorder the terms:
4 + 3(14 + 5x) = 10(x + 3) + -24
4 + (14 * 3 + 5x * 3) = 10(x + 3) + -24
4 + (42 + 15x) = 10(x + 3) + -24

Combine like terms: 4 + 42 = 46
46 + 15x = 10(x + 3) + -24

Reorder the terms:
46 + 15x = 10(3 + x) + -24
46 + 15x = (3 * 10 + x * 10) + -24
46 + 15x = (30 + 10x) + -24

Reorder the terms:
46 + 15x = 30 + -24 + 10x

Combine like terms: 30 + -24 = 6
46 + 15x = 6 + 10x

Solving
46 + 15x = 6 + 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.
46 + 15x + -10x = 6 + 10x + -10x

Combine like terms: 15x + -10x = 5x
46 + 5x = 6 + 10x + -10x

Combine like terms: 10x + -10x = 0
46 + 5x = 6 + 0
46 + 5x = 6

Add '-46' to each side of the equation.
46 + -46 + 5x = 6 + -46

Combine like terms: 46 + -46 = 0
0 + 5x = 6 + -46
5x = 6 + -46

Combine like terms: 6 + -46 = -40
5x = -40

Divide each side by '5'.
x = -8

Simplifying
x = -8

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