15x+8=3(5-2x)+2(21-14x)

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Solution for 15x+8=3(5-2x)+2(21-14x) equation: 


Simplifying
15x + 8 = 3(5 + -2x) + 2(21 + -14x)

Reorder the terms:
8 + 15x = 3(5 + -2x) + 2(21 + -14x)
8 + 15x = (5 * 3 + -2x * 3) + 2(21 + -14x)
8 + 15x = (15 + -6x) + 2(21 + -14x)
8 + 15x = 15 + -6x + (21 * 2 + -14x * 2)
8 + 15x = 15 + -6x + (42 + -28x)

Reorder the terms:
8 + 15x = 15 + 42 + -6x + -28x

Combine like terms: 15 + 42 = 57
8 + 15x = 57 + -6x + -28x

Combine like terms: -6x + -28x = -34x
8 + 15x = 57 + -34x

Solving
8 + 15x = 57 + -34x

Solving for variable 'x'.

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

Add '34x' to each side of the equation.
8 + 15x + 34x = 57 + -34x + 34x

Combine like terms: 15x + 34x = 49x
8 + 49x = 57 + -34x + 34x

Combine like terms: -34x + 34x = 0
8 + 49x = 57 + 0
8 + 49x = 57

Add '-8' to each side of the equation.
8 + -8 + 49x = 57 + -8

Combine like terms: 8 + -8 = 0
0 + 49x = 57 + -8
49x = 57 + -8

Combine like terms: 57 + -8 = 49
49x = 49

Divide each side by '49'.
x = 1

Simplifying
x = 1

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