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

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


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

Reorder the terms:
-5(-7 + x) + 3 = -1(4 + 2x)
(-7 * -5 + x * -5) + 3 = -1(4 + 2x)
(35 + -5x) + 3 = -1(4 + 2x)

Reorder the terms:
35 + 3 + -5x = -1(4 + 2x)

Combine like terms: 35 + 3 = 38
38 + -5x = -1(4 + 2x)
38 + -5x = (4 * -1 + 2x * -1)
38 + -5x = (-4 + -2x)

Solving
38 + -5x = -4 + -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.
38 + -5x + 2x = -4 + -2x + 2x

Combine like terms: -5x + 2x = -3x
38 + -3x = -4 + -2x + 2x

Combine like terms: -2x + 2x = 0
38 + -3x = -4 + 0
38 + -3x = -4

Add '-38' to each side of the equation.
38 + -38 + -3x = -4 + -38

Combine like terms: 38 + -38 = 0
0 + -3x = -4 + -38
-3x = -4 + -38

Combine like terms: -4 + -38 = -42
-3x = -42

Divide each side by '-3'.
x = 14

Simplifying
x = 14

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