4x-(x-3x+10)=-7x+16

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Solution for 4x-(x-3x+10)=-7x+16 equation:


Simplifying
4x + -1(x + -3x + 10) = -7x + 16

Reorder the terms:
4x + -1(10 + x + -3x) = -7x + 16

Combine like terms: x + -3x = -2x
4x + -1(10 + -2x) = -7x + 16
4x + (10 * -1 + -2x * -1) = -7x + 16
4x + (-10 + 2x) = -7x + 16

Reorder the terms:
-10 + 4x + 2x = -7x + 16

Combine like terms: 4x + 2x = 6x
-10 + 6x = -7x + 16

Reorder the terms:
-10 + 6x = 16 + -7x

Solving
-10 + 6x = 16 + -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.
-10 + 6x + 7x = 16 + -7x + 7x

Combine like terms: 6x + 7x = 13x
-10 + 13x = 16 + -7x + 7x

Combine like terms: -7x + 7x = 0
-10 + 13x = 16 + 0
-10 + 13x = 16

Add '10' to each side of the equation.
-10 + 10 + 13x = 16 + 10

Combine like terms: -10 + 10 = 0
0 + 13x = 16 + 10
13x = 16 + 10

Combine like terms: 16 + 10 = 26
13x = 26

Divide each side by '13'.
x = 2

Simplifying
x = 2

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