0.8x+100=0.7(x+250)

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Solution for 0.8x+100=0.7(x+250) equation:


Simplifying
0.8x + 100 = 0.7(x + 250)

Reorder the terms:
100 + 0.8x = 0.7(x + 250)

Reorder the terms:
100 + 0.8x = 0.7(250 + x)
100 + 0.8x = (250 * 0.7 + x * 0.7)
100 + 0.8x = (175 + 0.7x)

Solving
100 + 0.8x = 175 + 0.7x

Solving for variable 'x'.

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

Add '-0.7x' to each side of the equation.
100 + 0.8x + -0.7x = 175 + 0.7x + -0.7x

Combine like terms: 0.8x + -0.7x = 0.1x
100 + 0.1x = 175 + 0.7x + -0.7x

Combine like terms: 0.7x + -0.7x = 0.0
100 + 0.1x = 175 + 0.0
100 + 0.1x = 175

Add '-100' to each side of the equation.
100 + -100 + 0.1x = 175 + -100

Combine like terms: 100 + -100 = 0
0 + 0.1x = 175 + -100
0.1x = 175 + -100

Combine like terms: 175 + -100 = 75
0.1x = 75

Divide each side by '0.1'.
x = 750

Simplifying
x = 750

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