45x+16=10x-19

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Solution for 45x+16=10x-19 equation:


Simplifying
45x + 16 = 10x + -19

Reorder the terms:
16 + 45x = 10x + -19

Reorder the terms:
16 + 45x = -19 + 10x

Solving
16 + 45x = -19 + 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 + 45x + -10x = -19 + 10x + -10x

Combine like terms: 45x + -10x = 35x
16 + 35x = -19 + 10x + -10x

Combine like terms: 10x + -10x = 0
16 + 35x = -19 + 0
16 + 35x = -19

Add '-16' to each side of the equation.
16 + -16 + 35x = -19 + -16

Combine like terms: 16 + -16 = 0
0 + 35x = -19 + -16
35x = -19 + -16

Combine like terms: -19 + -16 = -35
35x = -35

Divide each side by '35'.
x = -1

Simplifying
x = -1

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