4(x+7)+105=3x-7(x-5)

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Solution for 4(x+7)+105=3x-7(x-5) equation:


Simplifying
4(x + 7) + 105 = 3x + -7(x + -5)

Reorder the terms:
4(7 + x) + 105 = 3x + -7(x + -5)
(7 * 4 + x * 4) + 105 = 3x + -7(x + -5)
(28 + 4x) + 105 = 3x + -7(x + -5)

Reorder the terms:
28 + 105 + 4x = 3x + -7(x + -5)

Combine like terms: 28 + 105 = 133
133 + 4x = 3x + -7(x + -5)

Reorder the terms:
133 + 4x = 3x + -7(-5 + x)
133 + 4x = 3x + (-5 * -7 + x * -7)
133 + 4x = 3x + (35 + -7x)

Reorder the terms:
133 + 4x = 35 + 3x + -7x

Combine like terms: 3x + -7x = -4x
133 + 4x = 35 + -4x

Solving
133 + 4x = 35 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
133 + 4x + 4x = 35 + -4x + 4x

Combine like terms: 4x + 4x = 8x
133 + 8x = 35 + -4x + 4x

Combine like terms: -4x + 4x = 0
133 + 8x = 35 + 0
133 + 8x = 35

Add '-133' to each side of the equation.
133 + -133 + 8x = 35 + -133

Combine like terms: 133 + -133 = 0
0 + 8x = 35 + -133
8x = 35 + -133

Combine like terms: 35 + -133 = -98
8x = -98

Divide each side by '8'.
x = -12.25

Simplifying
x = -12.25

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