10x-3(2x-7)+3=3x-5-x+11

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Solution for 10x-3(2x-7)+3=3x-5-x+11 equation:


Simplifying
10x + -3(2x + -7) + 3 = 3x + -5 + -1x + 11

Reorder the terms:
10x + -3(-7 + 2x) + 3 = 3x + -5 + -1x + 11
10x + (-7 * -3 + 2x * -3) + 3 = 3x + -5 + -1x + 11
10x + (21 + -6x) + 3 = 3x + -5 + -1x + 11

Reorder the terms:
21 + 3 + 10x + -6x = 3x + -5 + -1x + 11

Combine like terms: 21 + 3 = 24
24 + 10x + -6x = 3x + -5 + -1x + 11

Combine like terms: 10x + -6x = 4x
24 + 4x = 3x + -5 + -1x + 11

Reorder the terms:
24 + 4x = -5 + 11 + 3x + -1x

Combine like terms: -5 + 11 = 6
24 + 4x = 6 + 3x + -1x

Combine like terms: 3x + -1x = 2x
24 + 4x = 6 + 2x

Solving
24 + 4x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
24 + 4x + -2x = 6 + 2x + -2x

Combine like terms: 4x + -2x = 2x
24 + 2x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
24 + 2x = 6 + 0
24 + 2x = 6

Add '-24' to each side of the equation.
24 + -24 + 2x = 6 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = 6 + -24
2x = 6 + -24

Combine like terms: 6 + -24 = -18
2x = -18

Divide each side by '2'.
x = -9

Simplifying
x = -9

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