3(52x+3)-6(x+12)=3x+6-12

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Solution for 3(52x+3)-6(x+12)=3x+6-12 equation:


Simplifying
3(52x + 3) + -6(x + 12) = 3x + 6 + -12

Reorder the terms:
3(3 + 52x) + -6(x + 12) = 3x + 6 + -12
(3 * 3 + 52x * 3) + -6(x + 12) = 3x + 6 + -12
(9 + 156x) + -6(x + 12) = 3x + 6 + -12

Reorder the terms:
9 + 156x + -6(12 + x) = 3x + 6 + -12
9 + 156x + (12 * -6 + x * -6) = 3x + 6 + -12
9 + 156x + (-72 + -6x) = 3x + 6 + -12

Reorder the terms:
9 + -72 + 156x + -6x = 3x + 6 + -12

Combine like terms: 9 + -72 = -63
-63 + 156x + -6x = 3x + 6 + -12

Combine like terms: 156x + -6x = 150x
-63 + 150x = 3x + 6 + -12

Reorder the terms:
-63 + 150x = 6 + -12 + 3x

Combine like terms: 6 + -12 = -6
-63 + 150x = -6 + 3x

Solving
-63 + 150x = -6 + 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.
-63 + 150x + -3x = -6 + 3x + -3x

Combine like terms: 150x + -3x = 147x
-63 + 147x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-63 + 147x = -6 + 0
-63 + 147x = -6

Add '63' to each side of the equation.
-63 + 63 + 147x = -6 + 63

Combine like terms: -63 + 63 = 0
0 + 147x = -6 + 63
147x = -6 + 63

Combine like terms: -6 + 63 = 57
147x = 57

Divide each side by '147'.
x = 0.387755102

Simplifying
x = 0.387755102

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