3x-4(x+2)-10=7x+30

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Solution for 3x-4(x+2)-10=7x+30 equation:


Simplifying
3x + -4(x + 2) + -10 = 7x + 30

Reorder the terms:
3x + -4(2 + x) + -10 = 7x + 30
3x + (2 * -4 + x * -4) + -10 = 7x + 30
3x + (-8 + -4x) + -10 = 7x + 30

Reorder the terms:
-8 + -10 + 3x + -4x = 7x + 30

Combine like terms: -8 + -10 = -18
-18 + 3x + -4x = 7x + 30

Combine like terms: 3x + -4x = -1x
-18 + -1x = 7x + 30

Reorder the terms:
-18 + -1x = 30 + 7x

Solving
-18 + -1x = 30 + 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.
-18 + -1x + -7x = 30 + 7x + -7x

Combine like terms: -1x + -7x = -8x
-18 + -8x = 30 + 7x + -7x

Combine like terms: 7x + -7x = 0
-18 + -8x = 30 + 0
-18 + -8x = 30

Add '18' to each side of the equation.
-18 + 18 + -8x = 30 + 18

Combine like terms: -18 + 18 = 0
0 + -8x = 30 + 18
-8x = 30 + 18

Combine like terms: 30 + 18 = 48
-8x = 48

Divide each side by '-8'.
x = -6

Simplifying
x = -6

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