6x-49(3-2x)=5(x-4)-10

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Solution for 6x-49(3-2x)=5(x-4)-10 equation:


Simplifying
6x + -49(3 + -2x) = 5(x + -4) + -10
6x + (3 * -49 + -2x * -49) = 5(x + -4) + -10
6x + (-147 + 98x) = 5(x + -4) + -10

Reorder the terms:
-147 + 6x + 98x = 5(x + -4) + -10

Combine like terms: 6x + 98x = 104x
-147 + 104x = 5(x + -4) + -10

Reorder the terms:
-147 + 104x = 5(-4 + x) + -10
-147 + 104x = (-4 * 5 + x * 5) + -10
-147 + 104x = (-20 + 5x) + -10

Reorder the terms:
-147 + 104x = -20 + -10 + 5x

Combine like terms: -20 + -10 = -30
-147 + 104x = -30 + 5x

Solving
-147 + 104x = -30 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-147 + 104x + -5x = -30 + 5x + -5x

Combine like terms: 104x + -5x = 99x
-147 + 99x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-147 + 99x = -30 + 0
-147 + 99x = -30

Add '147' to each side of the equation.
-147 + 147 + 99x = -30 + 147

Combine like terms: -147 + 147 = 0
0 + 99x = -30 + 147
99x = -30 + 147

Combine like terms: -30 + 147 = 117
99x = 117

Divide each side by '99'.
x = 1.181818182

Simplifying
x = 1.181818182

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