5(x-2)+4x=2x-7

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Solution for 5(x-2)+4x=2x-7 equation:


Simplifying
5(x + -2) + 4x = 2x + -7

Reorder the terms:
5(-2 + x) + 4x = 2x + -7
(-2 * 5 + x * 5) + 4x = 2x + -7
(-10 + 5x) + 4x = 2x + -7

Combine like terms: 5x + 4x = 9x
-10 + 9x = 2x + -7

Reorder the terms:
-10 + 9x = -7 + 2x

Solving
-10 + 9x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-10 + 9x + -2x = -7 + 2x + -2x

Combine like terms: 9x + -2x = 7x
-10 + 7x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 7x = -7 + 0
-10 + 7x = -7

Add '10' to each side of the equation.
-10 + 10 + 7x = -7 + 10

Combine like terms: -10 + 10 = 0
0 + 7x = -7 + 10
7x = -7 + 10

Combine like terms: -7 + 10 = 3
7x = 3

Divide each side by '7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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