2(x+7)-3(4x+3)=1

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Solution for 2(x+7)-3(4x+3)=1 equation:


Simplifying
2(x + 7) + -3(4x + 3) = 1

Reorder the terms:
2(7 + x) + -3(4x + 3) = 1
(7 * 2 + x * 2) + -3(4x + 3) = 1
(14 + 2x) + -3(4x + 3) = 1

Reorder the terms:
14 + 2x + -3(3 + 4x) = 1
14 + 2x + (3 * -3 + 4x * -3) = 1
14 + 2x + (-9 + -12x) = 1

Reorder the terms:
14 + -9 + 2x + -12x = 1

Combine like terms: 14 + -9 = 5
5 + 2x + -12x = 1

Combine like terms: 2x + -12x = -10x
5 + -10x = 1

Solving
5 + -10x = 1

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + -10x = 1 + -5

Combine like terms: 5 + -5 = 0
0 + -10x = 1 + -5
-10x = 1 + -5

Combine like terms: 1 + -5 = -4
-10x = -4

Divide each side by '-10'.
x = 0.4

Simplifying
x = 0.4

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