8x+7-2x=5-2(3x-25)

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Solution for 8x+7-2x=5-2(3x-25) equation:


Simplifying
8x + 7 + -2x = 5 + -2(3x + -25)

Reorder the terms:
7 + 8x + -2x = 5 + -2(3x + -25)

Combine like terms: 8x + -2x = 6x
7 + 6x = 5 + -2(3x + -25)

Reorder the terms:
7 + 6x = 5 + -2(-25 + 3x)
7 + 6x = 5 + (-25 * -2 + 3x * -2)
7 + 6x = 5 + (50 + -6x)

Combine like terms: 5 + 50 = 55
7 + 6x = 55 + -6x

Solving
7 + 6x = 55 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
7 + 6x + 6x = 55 + -6x + 6x

Combine like terms: 6x + 6x = 12x
7 + 12x = 55 + -6x + 6x

Combine like terms: -6x + 6x = 0
7 + 12x = 55 + 0
7 + 12x = 55

Add '-7' to each side of the equation.
7 + -7 + 12x = 55 + -7

Combine like terms: 7 + -7 = 0
0 + 12x = 55 + -7
12x = 55 + -7

Combine like terms: 55 + -7 = 48
12x = 48

Divide each side by '12'.
x = 4

Simplifying
x = 4

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