3(x-4)-8(4x-7)=-30(x-1)+4

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Solution for 3(x-4)-8(4x-7)=-30(x-1)+4 equation:


Simplifying
3(x + -4) + -8(4x + -7) = -30(x + -1) + 4

Reorder the terms:
3(-4 + x) + -8(4x + -7) = -30(x + -1) + 4
(-4 * 3 + x * 3) + -8(4x + -7) = -30(x + -1) + 4
(-12 + 3x) + -8(4x + -7) = -30(x + -1) + 4

Reorder the terms:
-12 + 3x + -8(-7 + 4x) = -30(x + -1) + 4
-12 + 3x + (-7 * -8 + 4x * -8) = -30(x + -1) + 4
-12 + 3x + (56 + -32x) = -30(x + -1) + 4

Reorder the terms:
-12 + 56 + 3x + -32x = -30(x + -1) + 4

Combine like terms: -12 + 56 = 44
44 + 3x + -32x = -30(x + -1) + 4

Combine like terms: 3x + -32x = -29x
44 + -29x = -30(x + -1) + 4

Reorder the terms:
44 + -29x = -30(-1 + x) + 4
44 + -29x = (-1 * -30 + x * -30) + 4
44 + -29x = (30 + -30x) + 4

Reorder the terms:
44 + -29x = 30 + 4 + -30x

Combine like terms: 30 + 4 = 34
44 + -29x = 34 + -30x

Solving
44 + -29x = 34 + -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
44 + -29x + 30x = 34 + -30x + 30x

Combine like terms: -29x + 30x = 1x
44 + 1x = 34 + -30x + 30x

Combine like terms: -30x + 30x = 0
44 + 1x = 34 + 0
44 + 1x = 34

Add '-44' to each side of the equation.
44 + -44 + 1x = 34 + -44

Combine like terms: 44 + -44 = 0
0 + 1x = 34 + -44
1x = 34 + -44

Combine like terms: 34 + -44 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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