2x+3=4(1-3x)+10

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Solution for 2x+3=4(1-3x)+10 equation:


Simplifying
2x + 3 = 4(1 + -3x) + 10

Reorder the terms:
3 + 2x = 4(1 + -3x) + 10
3 + 2x = (1 * 4 + -3x * 4) + 10
3 + 2x = (4 + -12x) + 10

Reorder the terms:
3 + 2x = 4 + 10 + -12x

Combine like terms: 4 + 10 = 14
3 + 2x = 14 + -12x

Solving
3 + 2x = 14 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
3 + 2x + 12x = 14 + -12x + 12x

Combine like terms: 2x + 12x = 14x
3 + 14x = 14 + -12x + 12x

Combine like terms: -12x + 12x = 0
3 + 14x = 14 + 0
3 + 14x = 14

Add '-3' to each side of the equation.
3 + -3 + 14x = 14 + -3

Combine like terms: 3 + -3 = 0
0 + 14x = 14 + -3
14x = 14 + -3

Combine like terms: 14 + -3 = 11
14x = 11

Divide each side by '14'.
x = 0.7857142857

Simplifying
x = 0.7857142857

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