5(x-2)+2=7(x+4)-38

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Solution for 5(x-2)+2=7(x+4)-38 equation:


Simplifying
5(x + -2) + 2 = 7(x + 4) + -38

Reorder the terms:
5(-2 + x) + 2 = 7(x + 4) + -38
(-2 * 5 + x * 5) + 2 = 7(x + 4) + -38
(-10 + 5x) + 2 = 7(x + 4) + -38

Reorder the terms:
-10 + 2 + 5x = 7(x + 4) + -38

Combine like terms: -10 + 2 = -8
-8 + 5x = 7(x + 4) + -38

Reorder the terms:
-8 + 5x = 7(4 + x) + -38
-8 + 5x = (4 * 7 + x * 7) + -38
-8 + 5x = (28 + 7x) + -38

Reorder the terms:
-8 + 5x = 28 + -38 + 7x

Combine like terms: 28 + -38 = -10
-8 + 5x = -10 + 7x

Solving
-8 + 5x = -10 + 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.
-8 + 5x + -7x = -10 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-8 + -2x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + -2x = -10 + 0
-8 + -2x = -10

Add '8' to each side of the equation.
-8 + 8 + -2x = -10 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = -10 + 8
-2x = -10 + 8

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

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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