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

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


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

Reorder the terms:
3(2 + x) + -4 = 7x + 10
(2 * 3 + x * 3) + -4 = 7x + 10
(6 + 3x) + -4 = 7x + 10

Reorder the terms:
6 + -4 + 3x = 7x + 10

Combine like terms: 6 + -4 = 2
2 + 3x = 7x + 10

Reorder the terms:
2 + 3x = 10 + 7x

Solving
2 + 3x = 10 + 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.
2 + 3x + -7x = 10 + 7x + -7x

Combine like terms: 3x + -7x = -4x
2 + -4x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -4x = 10 + 0
2 + -4x = 10

Add '-2' to each side of the equation.
2 + -2 + -4x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = 10 + -2
-4x = 10 + -2

Combine like terms: 10 + -2 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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