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

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


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

Reorder the terms:
4(-7 + x) + 2 = -5(x + -2)
(-7 * 4 + x * 4) + 2 = -5(x + -2)
(-28 + 4x) + 2 = -5(x + -2)

Reorder the terms:
-28 + 2 + 4x = -5(x + -2)

Combine like terms: -28 + 2 = -26
-26 + 4x = -5(x + -2)

Reorder the terms:
-26 + 4x = -5(-2 + x)
-26 + 4x = (-2 * -5 + x * -5)
-26 + 4x = (10 + -5x)

Solving
-26 + 4x = 10 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-26 + 4x + 5x = 10 + -5x + 5x

Combine like terms: 4x + 5x = 9x
-26 + 9x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-26 + 9x = 10 + 0
-26 + 9x = 10

Add '26' to each side of the equation.
-26 + 26 + 9x = 10 + 26

Combine like terms: -26 + 26 = 0
0 + 9x = 10 + 26
9x = 10 + 26

Combine like terms: 10 + 26 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4

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