7[9-(3x-4)]=105x+203

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Solution for 7[9-(3x-4)]=105x+203 equation:


Simplifying
7[9 + -1(3x + -4)] = 105x + 203

Reorder the terms:
7[9 + -1(-4 + 3x)] = 105x + 203
7[9 + (-4 * -1 + 3x * -1)] = 105x + 203
7[9 + (4 + -3x)] = 105x + 203

Combine like terms: 9 + 4 = 13
7[13 + -3x] = 105x + 203
[13 * 7 + -3x * 7] = 105x + 203
[91 + -21x] = 105x + 203

Reorder the terms:
91 + -21x = 203 + 105x

Solving
91 + -21x = 203 + 105x

Solving for variable 'x'.

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

Add '-105x' to each side of the equation.
91 + -21x + -105x = 203 + 105x + -105x

Combine like terms: -21x + -105x = -126x
91 + -126x = 203 + 105x + -105x

Combine like terms: 105x + -105x = 0
91 + -126x = 203 + 0
91 + -126x = 203

Add '-91' to each side of the equation.
91 + -91 + -126x = 203 + -91

Combine like terms: 91 + -91 = 0
0 + -126x = 203 + -91
-126x = 203 + -91

Combine like terms: 203 + -91 = 112
-126x = 112

Divide each side by '-126'.
x = -0.8888888889

Simplifying
x = -0.8888888889

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