6x-(3x+7)=4x-10

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Solution for 6x-(3x+7)=4x-10 equation:


Simplifying
6x + -1(3x + 7) = 4x + -10

Reorder the terms:
6x + -1(7 + 3x) = 4x + -10
6x + (7 * -1 + 3x * -1) = 4x + -10
6x + (-7 + -3x) = 4x + -10

Reorder the terms:
-7 + 6x + -3x = 4x + -10

Combine like terms: 6x + -3x = 3x
-7 + 3x = 4x + -10

Reorder the terms:
-7 + 3x = -10 + 4x

Solving
-7 + 3x = -10 + 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.
-7 + 3x + -4x = -10 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-7 + -1x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 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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