3.5x+5=4(x-3.5)

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Solution for 3.5x+5=4(x-3.5) equation:


Simplifying
3.5x + 5 = 4(x + -3.5)

Reorder the terms:
5 + 3.5x = 4(x + -3.5)

Reorder the terms:
5 + 3.5x = 4(-3.5 + x)
5 + 3.5x = (-3.5 * 4 + x * 4)
5 + 3.5x = (-14 + 4x)

Solving
5 + 3.5x = -14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + 3.5x + -4x = -14 + 4x + -4x

Combine like terms: 3.5x + -4x = -0.5x
5 + -0.5x = -14 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -0.5x = -14 + 0
5 + -0.5x = -14

Add '-5' to each side of the equation.
5 + -5 + -0.5x = -14 + -5

Combine like terms: 5 + -5 = 0
0 + -0.5x = -14 + -5
-0.5x = -14 + -5

Combine like terms: -14 + -5 = -19
-0.5x = -19

Divide each side by '-0.5'.
x = 38

Simplifying
x = 38

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