# 4x-10=7x-13

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## Solution for 4x-10=7x-13 equation:

Simplifying
4x + -10 = 7x + -13
Reorder the terms:
-10 + 4x = 7x + -13
Reorder the terms:
-10 + 4x = -13 + 7x
Solving
-10 + 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.
-10 + 4x + -7x = -13 + 7x + -7x
Combine like terms: 4x + -7x = -3x
-10 + -3x = -13 + 7x + -7x
Combine like terms: 7x + -7x = 0
-10 + -3x = -13 + 0
-10 + -3x = -13
Add '10' to each side of the equation.
-10 + 10 + -3x = -13 + 10
Combine like terms: -10 + 10 = 0
0 + -3x = -13 + 10
-3x = -13 + 10
Combine like terms: -13 + 10 = -3
-3x = -3
Divide each side by '-3'.
x = 1
Simplifying
x = 1`

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