3(x-5)+3=1-(4+7x)

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Solution for 3(x-5)+3=1-(4+7x) equation:


Simplifying
3(x + -5) + 3 = 1 + -1(4 + 7x)

Reorder the terms:
3(-5 + x) + 3 = 1 + -1(4 + 7x)
(-5 * 3 + x * 3) + 3 = 1 + -1(4 + 7x)
(-15 + 3x) + 3 = 1 + -1(4 + 7x)

Reorder the terms:
-15 + 3 + 3x = 1 + -1(4 + 7x)

Combine like terms: -15 + 3 = -12
-12 + 3x = 1 + -1(4 + 7x)
-12 + 3x = 1 + (4 * -1 + 7x * -1)
-12 + 3x = 1 + (-4 + -7x)

Combine like terms: 1 + -4 = -3
-12 + 3x = -3 + -7x

Solving
-12 + 3x = -3 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-12 + 3x + 7x = -3 + -7x + 7x

Combine like terms: 3x + 7x = 10x
-12 + 10x = -3 + -7x + 7x

Combine like terms: -7x + 7x = 0
-12 + 10x = -3 + 0
-12 + 10x = -3

Add '12' to each side of the equation.
-12 + 12 + 10x = -3 + 12

Combine like terms: -12 + 12 = 0
0 + 10x = -3 + 12
10x = -3 + 12

Combine like terms: -3 + 12 = 9
10x = 9

Divide each side by '10'.
x = 0.9

Simplifying
x = 0.9

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