2(x-2)+5x=4x-13

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Solution for 2(x-2)+5x=4x-13 equation:


Simplifying
2(x + -2) + 5x = 4x + -13

Reorder the terms:
2(-2 + x) + 5x = 4x + -13
(-2 * 2 + x * 2) + 5x = 4x + -13
(-4 + 2x) + 5x = 4x + -13

Combine like terms: 2x + 5x = 7x
-4 + 7x = 4x + -13

Reorder the terms:
-4 + 7x = -13 + 4x

Solving
-4 + 7x = -13 + 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.
-4 + 7x + -4x = -13 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-4 + 3x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + 3x = -13 + 0
-4 + 3x = -13

Add '4' to each side of the equation.
-4 + 4 + 3x = -13 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = -13 + 4
3x = -13 + 4

Combine like terms: -13 + 4 = -9
3x = -9

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

Simplifying
x = -3

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