3+10(7x+10)=-x-12(1-4x)

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Solution for 3+10(7x+10)=-x-12(1-4x) equation: 


Simplifying
3 + 10(7x + 10) = -1x + -12(1 + -4x)

Reorder the terms:
3 + 10(10 + 7x) = -1x + -12(1 + -4x)
3 + (10 * 10 + 7x * 10) = -1x + -12(1 + -4x)
3 + (100 + 70x) = -1x + -12(1 + -4x)

Combine like terms: 3 + 100 = 103
103 + 70x = -1x + -12(1 + -4x)
103 + 70x = -1x + (1 * -12 + -4x * -12)
103 + 70x = -1x + (-12 + 48x)

Reorder the terms:
103 + 70x = -12 + -1x + 48x

Combine like terms: -1x + 48x = 47x
103 + 70x = -12 + 47x

Solving
103 + 70x = -12 + 47x

Solving for variable 'x'.

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

Add '-47x' to each side of the equation.
103 + 70x + -47x = -12 + 47x + -47x

Combine like terms: 70x + -47x = 23x
103 + 23x = -12 + 47x + -47x

Combine like terms: 47x + -47x = 0
103 + 23x = -12 + 0
103 + 23x = -12

Add '-103' to each side of the equation.
103 + -103 + 23x = -12 + -103

Combine like terms: 103 + -103 = 0
0 + 23x = -12 + -103
23x = -12 + -103

Combine like terms: -12 + -103 = -115
23x = -115

Divide each side by '23'.
x = -5

Simplifying
x = -5

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