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

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


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

Reorder the terms:
-3(3 + x) + 3 = 7(x + 4) + 7
(3 * -3 + x * -3) + 3 = 7(x + 4) + 7
(-9 + -3x) + 3 = 7(x + 4) + 7

Reorder the terms:
-9 + 3 + -3x = 7(x + 4) + 7

Combine like terms: -9 + 3 = -6
-6 + -3x = 7(x + 4) + 7

Reorder the terms:
-6 + -3x = 7(4 + x) + 7
-6 + -3x = (4 * 7 + x * 7) + 7
-6 + -3x = (28 + 7x) + 7

Reorder the terms:
-6 + -3x = 28 + 7 + 7x

Combine like terms: 28 + 7 = 35
-6 + -3x = 35 + 7x

Solving
-6 + -3x = 35 + 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.
-6 + -3x + -7x = 35 + 7x + -7x

Combine like terms: -3x + -7x = -10x
-6 + -10x = 35 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -10x = 35 + 0
-6 + -10x = 35

Add '6' to each side of the equation.
-6 + 6 + -10x = 35 + 6

Combine like terms: -6 + 6 = 0
0 + -10x = 35 + 6
-10x = 35 + 6

Combine like terms: 35 + 6 = 41
-10x = 41

Divide each side by '-10'.
x = -4.1

Simplifying
x = -4.1

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