4x-6+8=7x-13

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Solution for 4x-6+8=7x-13 equation: 


Simplifying
4x + -6 + 8 = 7x + -13

Reorder the terms:
-6 + 8 + 4x = 7x + -13

Combine like terms: -6 + 8 = 2
2 + 4x = 7x + -13

Reorder the terms:
2 + 4x = -13 + 7x

Solving
2 + 4x = -13 + 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.
2 + 4x + -7x = -13 + 7x + -7x

Combine like terms: 4x + -7x = -3x
2 + -3x = -13 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -3x = -13 + 0
2 + -3x = -13

Add '-2' to each side of the equation.
2 + -2 + -3x = -13 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -13 + -2
-3x = -13 + -2

Combine like terms: -13 + -2 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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