7(7x+2)-16(3x-5)=56x-18(x+3)

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Solution for 7(7x+2)-16(3x-5)=56x-18(x+3) equation:


Simplifying
7(7x + 2) + -16(3x + -5) = 56x + -18(x + 3)

Reorder the terms:
7(2 + 7x) + -16(3x + -5) = 56x + -18(x + 3)
(2 * 7 + 7x * 7) + -16(3x + -5) = 56x + -18(x + 3)
(14 + 49x) + -16(3x + -5) = 56x + -18(x + 3)

Reorder the terms:
14 + 49x + -16(-5 + 3x) = 56x + -18(x + 3)
14 + 49x + (-5 * -16 + 3x * -16) = 56x + -18(x + 3)
14 + 49x + (80 + -48x) = 56x + -18(x + 3)

Reorder the terms:
14 + 80 + 49x + -48x = 56x + -18(x + 3)

Combine like terms: 14 + 80 = 94
94 + 49x + -48x = 56x + -18(x + 3)

Combine like terms: 49x + -48x = 1x
94 + 1x = 56x + -18(x + 3)

Reorder the terms:
94 + 1x = 56x + -18(3 + x)
94 + 1x = 56x + (3 * -18 + x * -18)
94 + 1x = 56x + (-54 + -18x)

Reorder the terms:
94 + 1x = -54 + 56x + -18x

Combine like terms: 56x + -18x = 38x
94 + 1x = -54 + 38x

Solving
94 + 1x = -54 + 38x

Solving for variable 'x'.

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

Add '-38x' to each side of the equation.
94 + 1x + -38x = -54 + 38x + -38x

Combine like terms: 1x + -38x = -37x
94 + -37x = -54 + 38x + -38x

Combine like terms: 38x + -38x = 0
94 + -37x = -54 + 0
94 + -37x = -54

Add '-94' to each side of the equation.
94 + -94 + -37x = -54 + -94

Combine like terms: 94 + -94 = 0
0 + -37x = -54 + -94
-37x = -54 + -94

Combine like terms: -54 + -94 = -148
-37x = -148

Divide each side by '-37'.
x = 4

Simplifying
x = 4

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