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

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


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

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

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

Combine like terms: 6x + -4x = 2x
-3 + 2x = 3x + -10

Reorder the terms:
-3 + 2x = -10 + 3x

Solving
-3 + 2x = -10 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
-3 + 2x + -3x = -10 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-3 + -1x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3 + -1x = -10 + 0
-3 + -1x = -10

Add '3' to each side of the equation.
-3 + 3 + -1x = -10 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = -10 + 3
-1x = -10 + 3

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

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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