2(4x-2)+7(-3+5x)=(32+44x)

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Solution for 2(4x-2)+7(-3+5x)=(32+44x) equation:


Simplifying
2(4x + -2) + 7(-3 + 5x) = (32 + 44x)

Reorder the terms:
2(-2 + 4x) + 7(-3 + 5x) = (32 + 44x)
(-2 * 2 + 4x * 2) + 7(-3 + 5x) = (32 + 44x)
(-4 + 8x) + 7(-3 + 5x) = (32 + 44x)
-4 + 8x + (-3 * 7 + 5x * 7) = (32 + 44x)
-4 + 8x + (-21 + 35x) = (32 + 44x)

Reorder the terms:
-4 + -21 + 8x + 35x = (32 + 44x)

Combine like terms: -4 + -21 = -25
-25 + 8x + 35x = (32 + 44x)

Combine like terms: 8x + 35x = 43x
-25 + 43x = (32 + 44x)

Remove parenthesis around (32 + 44x)
-25 + 43x = 32 + 44x

Solving
-25 + 43x = 32 + 44x

Solving for variable 'x'.

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

Add '-44x' to each side of the equation.
-25 + 43x + -44x = 32 + 44x + -44x

Combine like terms: 43x + -44x = -1x
-25 + -1x = 32 + 44x + -44x

Combine like terms: 44x + -44x = 0
-25 + -1x = 32 + 0
-25 + -1x = 32

Add '25' to each side of the equation.
-25 + 25 + -1x = 32 + 25

Combine like terms: -25 + 25 = 0
0 + -1x = 32 + 25
-1x = 32 + 25

Combine like terms: 32 + 25 = 57
-1x = 57

Divide each side by '-1'.
x = -57

Simplifying
x = -57

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