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

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Solution for 6-4(x+1)+3x=x+10 equation:


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

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

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

Combine like terms: -4x + 3x = -1x
2 + -1x = x + 10

Reorder the terms:
2 + -1x = 10 + x

Solving
2 + -1x = 10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + -1x + -1x = 10 + x + -1x

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

Combine like terms: x + -1x = 0
2 + -2x = 10 + 0
2 + -2x = 10

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

Combine like terms: 2 + -2 = 0
0 + -2x = 10 + -2
-2x = 10 + -2

Combine like terms: 10 + -2 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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