5-2(x-7)-(3-x)=4

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Solution for 5-2(x-7)-(3-x)=4 equation:


Simplifying
5 + -2(x + -7) + -1(3 + -1x) = 4

Reorder the terms:
5 + -2(-7 + x) + -1(3 + -1x) = 4
5 + (-7 * -2 + x * -2) + -1(3 + -1x) = 4
5 + (14 + -2x) + -1(3 + -1x) = 4
5 + 14 + -2x + (3 * -1 + -1x * -1) = 4
5 + 14 + -2x + (-3 + 1x) = 4

Reorder the terms:
5 + 14 + -3 + -2x + 1x = 4

Combine like terms: 5 + 14 = 19
19 + -3 + -2x + 1x = 4

Combine like terms: 19 + -3 = 16
16 + -2x + 1x = 4

Combine like terms: -2x + 1x = -1x
16 + -1x = 4

Solving
16 + -1x = 4

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 4 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 4 + -16
-1x = 4 + -16

Combine like terms: 4 + -16 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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