8x+7-2x+5=4x+12-(x-30)

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Solution for 8x+7-2x+5=4x+12-(x-30) equation:


Simplifying
8x + 7 + -2x + 5 = 4x + 12 + -1(x + -30)

Reorder the terms:
7 + 5 + 8x + -2x = 4x + 12 + -1(x + -30)

Combine like terms: 7 + 5 = 12
12 + 8x + -2x = 4x + 12 + -1(x + -30)

Combine like terms: 8x + -2x = 6x
12 + 6x = 4x + 12 + -1(x + -30)

Reorder the terms:
12 + 6x = 4x + 12 + -1(-30 + x)
12 + 6x = 4x + 12 + (-30 * -1 + x * -1)
12 + 6x = 4x + 12 + (30 + -1x)

Reorder the terms:
12 + 6x = 12 + 30 + 4x + -1x

Combine like terms: 12 + 30 = 42
12 + 6x = 42 + 4x + -1x

Combine like terms: 4x + -1x = 3x
12 + 6x = 42 + 3x

Solving
12 + 6x = 42 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + 6x + -3x = 42 + 3x + -3x

Combine like terms: 6x + -3x = 3x
12 + 3x = 42 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 3x = 42 + 0
12 + 3x = 42

Add '-12' to each side of the equation.
12 + -12 + 3x = 42 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 42 + -12
3x = 42 + -12

Combine like terms: 42 + -12 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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