4(3x+7)-6(4x-7)=10x+3(2x-9)

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Solution for 4(3x+7)-6(4x-7)=10x+3(2x-9) equation: 


Simplifying
4(3x + 7) + -6(4x + -7) = 10x + 3(2x + -9)

Reorder the terms:
4(7 + 3x) + -6(4x + -7) = 10x + 3(2x + -9)
(7 * 4 + 3x * 4) + -6(4x + -7) = 10x + 3(2x + -9)
(28 + 12x) + -6(4x + -7) = 10x + 3(2x + -9)

Reorder the terms:
28 + 12x + -6(-7 + 4x) = 10x + 3(2x + -9)
28 + 12x + (-7 * -6 + 4x * -6) = 10x + 3(2x + -9)
28 + 12x + (42 + -24x) = 10x + 3(2x + -9)

Reorder the terms:
28 + 42 + 12x + -24x = 10x + 3(2x + -9)

Combine like terms: 28 + 42 = 70
70 + 12x + -24x = 10x + 3(2x + -9)

Combine like terms: 12x + -24x = -12x
70 + -12x = 10x + 3(2x + -9)

Reorder the terms:
70 + -12x = 10x + 3(-9 + 2x)
70 + -12x = 10x + (-9 * 3 + 2x * 3)
70 + -12x = 10x + (-27 + 6x)

Reorder the terms:
70 + -12x = -27 + 10x + 6x

Combine like terms: 10x + 6x = 16x
70 + -12x = -27 + 16x

Solving
70 + -12x = -27 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
70 + -12x + -16x = -27 + 16x + -16x

Combine like terms: -12x + -16x = -28x
70 + -28x = -27 + 16x + -16x

Combine like terms: 16x + -16x = 0
70 + -28x = -27 + 0
70 + -28x = -27

Add '-70' to each side of the equation.
70 + -70 + -28x = -27 + -70

Combine like terms: 70 + -70 = 0
0 + -28x = -27 + -70
-28x = -27 + -70

Combine like terms: -27 + -70 = -97
-28x = -97

Divide each side by '-28'.
x = 3.464285714

Simplifying
x = 3.464285714

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