(4x)+(2x-7)=7x-10

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Solution for (4x)+(2x-7)=7x-10 equation:


Simplifying
(4x) + (2x + -7) = 7x + -10

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

Remove parenthesis around (-7 + 2x)
(4x) + -7 + 2x = 7x + -10

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

Combine like terms: (4x) + 2x = 6x
-7 + 6x = 7x + -10

Reorder the terms:
-7 + 6x = -10 + 7x

Solving
-7 + 6x = -10 + 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 = -10 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-7 + -1x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
-7 + -1x = -10 + 0
-7 + -1x = -10

Add '7' to each side of the equation.
-7 + 7 + -1x = -10 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = -10 + 7
-1x = -10 + 7

Combine like terms: -10 + 7 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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