3(2x+10)+4(x-7)=12

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Solution for 3(2x+10)+4(x-7)=12 equation: 


Simplifying
3(2x + 10) + 4(x + -7) = 12

Reorder the terms:
3(10 + 2x) + 4(x + -7) = 12
(10 * 3 + 2x * 3) + 4(x + -7) = 12
(30 + 6x) + 4(x + -7) = 12

Reorder the terms:
30 + 6x + 4(-7 + x) = 12
30 + 6x + (-7 * 4 + x * 4) = 12
30 + 6x + (-28 + 4x) = 12

Reorder the terms:
30 + -28 + 6x + 4x = 12

Combine like terms: 30 + -28 = 2
2 + 6x + 4x = 12

Combine like terms: 6x + 4x = 10x
2 + 10x = 12

Solving
2 + 10x = 12

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 10x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 10x = 12 + -2
10x = 12 + -2

Combine like terms: 12 + -2 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1

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