x+1=0.5(5x-7)

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Solution for x+1=0.5(5x-7) equation:


Simplifying
x + 1 = 0.5(5x + -7)

Reorder the terms:
1 + x = 0.5(5x + -7)

Reorder the terms:
1 + x = 0.5(-7 + 5x)
1 + x = (-7 * 0.5 + 5x * 0.5)
1 + x = (-3.5 + 2.5x)

Solving
1 + x = -3.5 + 2.5x

Solving for variable 'x'.

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

Add '-2.5x' to each side of the equation.
1 + x + -2.5x = -3.5 + 2.5x + -2.5x

Combine like terms: x + -2.5x = -1.5x
1 + -1.5x = -3.5 + 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
1 + -1.5x = -3.5 + 0.0
1 + -1.5x = -3.5

Add '-1' to each side of the equation.
1 + -1 + -1.5x = -3.5 + -1

Combine like terms: 1 + -1 = 0
0 + -1.5x = -3.5 + -1
-1.5x = -3.5 + -1

Combine like terms: -3.5 + -1 = -4.5
-1.5x = -4.5

Divide each side by '-1.5'.
x = 3

Simplifying
x = 3

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