0.9x+5.1x-7=2(3.5x-3)

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Solution for 0.9x+5.1x-7=2(3.5x-3) equation:


Simplifying
0.9x + 5.1x + -7 = 2(3.5x + -3)

Reorder the terms:
-7 + 0.9x + 5.1x = 2(3.5x + -3)

Combine like terms: 0.9x + 5.1x = 6x
-7 + 6x = 2(3.5x + -3)

Reorder the terms:
-7 + 6x = 2(-3 + 3.5x)
-7 + 6x = (-3 * 2 + 3.5x * 2)
-7 + 6x = (-6 + 7x)

Solving
-7 + 6x = -6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-7 + 6x + -7x = -6 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-7 + -1x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-7 + -1x = -6 + 0
-7 + -1x = -6

Add '7' to each side of the equation.
-7 + 7 + -1x = -6 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = -6 + 7
-1x = -6 + 7

Combine like terms: -6 + 7 = 1
-1x = 1

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

Simplifying
x = -1

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